An initial population of 910 quail increases at an annual rate of 20%. Write an exponential function to model the quail population.

Answers

Answer 1

The exponential function to model the quail population is 910*(1.2)^t

Concept: An exponential function is a mathematical function denoted f(x)=\exp or e^{x}. Unless otherwise stated, the term generally refers to a positive function of a real variable, although it may be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

Given data

Initial population= 910 quail

Rate= 20%

Now using the model below:

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is  910*(1.2)^t

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Related Questions

What is the variable of f(3) in the function below? f(x) =2^x

Answers

Hello !

We replace x by 3.

[tex]f(3) = {2}^{3} = 8[/tex]

Have a nice day ;)

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

                              We have the expression -:

                             [tex]\boldsymbol{\sf{f(x)=2^x}}[/tex], and we're asked to find

                             [tex]\boldsymbol{\sf{f(3)}}[/tex].

                             To do that we put in the value for x (3)-:

                             [tex]\boldsymbol{\sf{f(3)=2^3}}[/tex].

                             Evaluate-:

                             [tex]\boldsymbol{\sf{f(3)=2\times2\times2=8}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

New information obtained through research or experimentation that enables an updating or revision of the state-of-nature probabilities is known as _____. Group of answer choices joint probability sample information conditional probability expected utility

Answers

New information obtained through research or experimentation that enables an updating or revision of the state-of-nature probabilities is known as SAMPLE INFORMATION.

Hence, 2nd option is the best choice.

A statistical concept called joint probability determines the chance that two events will occur simultaneously and at the same time.

A sample is a collection of people, things, or things used in the study that is taken for analysis from a wider population. To enable us to extrapolate the study sample's findings to the entire population, the sample must be representative of the population. Sample information is the collection of the information of the sample.

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.

The expected utility of a course of action is a weighted average of the utilities of each of its potential outcomes, where the utility of a potential result indicates how much it is preferred to the alternatives.

In the question, we are asked what will be the new information obtained through research or experimentation that enables an updating or revision of the state-of-nature probabilities called.

As we are to name the information, it will be called sample information, from the above-discussed points.

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A llhe intersects the points
(4, -2) and (3, 3).
m = -5
Write an equation in point-slope form
using the point (4, -2).
y- [?] =[?]
(x-[?])

Answers

Answer:

y + 2 = -5(x - 4)

Step-by-step explanation:

Point-slope form is the following: [tex]y-y_{1}=m(x-x_{1})[/tex], where m is the slope of the line and [tex](x_{1}, y_{1} )[/tex] is a point on the line. We are already given all of the information we need, so all we have to do is write it out. We are told that the slope (m) is -5, and the point the question wants us to use is (4, -2), though either of the points given would work. If we plug in the quantities, we get that y - (-2) = -5(x - 4), or y + 2 = -5(x - 4)

A bag has 20 cubes in it. 6 of the cubes are
green.
You take one cube out of the bag at random.
Which four values below show the probability
that you take out a cube that is green?
6
14
6%
0.3
30% 0.6
3 6
5 20
6
10
60%
3
10
0.03
6
26

Answers

Answer: 0.3, [tex]\frac{6}{20}[/tex], [tex]\frac{3}{10}[/tex], 30%

Step-by-step explanation:

    We will divide wanted outcomes by possible outcomes.

          [tex]\displaystyle \frac{\text{wanted outcomes, green cubes}}{\text{possible outcomes, cubes in bag}} =\frac{6}{20}[/tex]

    Now, we will find four values equivalent to [tex]\frac{6}{20}[/tex]. See attached.

The answer is:

0.3,
30%,
3/10
6/20

Why? Well, see below!

The total number of cubes present in the bag is 20. 6 of these cubes present are green. Since 20 is the total number, that would mean that 100% = 20. Because 100 divided by 20 = 5, we can multiply 6 by 5 to get the amount of cubes that would be green out of 100.

6 x 5 = 30

Therefore, 30/100 cubes are green. This also is representative of the probability of taking a cube out that is green because it’s a ratio of 30 green cubes : 100 total cubes.

Because 30/100 is not a whole number, anything equivalent to 30/100 will be our answer. In decimated form, this converts to 0.3. In fraction form, these numbers both can be divided by 5 since they are even.

100 / 5 = 20
30 / 5 = 6

However, we are not done. 6/20 can also be reduced by 2.

20 / 2 = 10
6 / 2 = 3

Your final fraction conversion would be 3/10, which is an answer choice. Since 3/10 = 30/100, we know that as a percentage, that is the equivalent to 30%.

6/20 is also our answer because it is the same fraction as 3/10, it just is not reduced.

Your final answers: 30%, 3/10, 6/20, 0.3. If you need help, let me know and I will gladly assist you.

3/8 TIMES 2/5 =
SIMPLIFIED

Answers

Answer:

3/20

decimal form: 0.15

answer:15/16
explanation: yea

Triangles P and Q are similar.
Find the lengths of the sides:
Triangle P—> CA=9cm AB=4cm BC=?
Triangle Q—> XY=16cm YZ=48cm ZX=?


Answers

Answer:

if i labeled the triangle correctly BC= sqrt 97, ZX=32sqrt 2

Step-by-step explanation:

join my stream and tell me how to label the triangle

(ChildOfHermes)

CAN SOMEONE HELP ME PLEASE:)<3

Answers

Answer: D. Cannot be determined

Step-by-step explanation: There are 3 postulates we can use for determining similar triangles.

There is Side Side Side (SSS) Postulate, which requires you have 2 sides of each triangle that are the same proportion as the other triangle. For example, in a triangle ABC, if 2 sides are 5 and 7, and in a triangle DEF, if 2 sides are 10 and 14, then the proportions 5/10 ( 1/2) and 7/14 (1/2) are equal. Thus these are similar triangles and the scale is 1/2.

There is Angle Angle (AA) postulate. If 2 angles are the same to another 2 angles in another triangle, then the two triangles are automatically similar.

The last is Side Angle Side (SAS), which requires you to have an angle that is congruent to another angle in a different triangle, and the angle is in between 2 sides that are proportionally equal to another triangle that also has the same angle in 2 sides. For example, if triangles ABC have angles A, B and C, and angle A is the same equal degrees to another angle in a triangle D, and both A and D are in between 2 sides (i.e DE and AB) that are proportionate (e.g DE and AB are proportionate.) The triangles are then similar.

None of these postulates can be applied to our given problem. Let's see why.

For Angle-Angle, we don't have 2 congruent angles. We have 2 right angles, but that's only 1 angle.

For Side Side Side, we don't have 2 sides given on each triangle, let alone proportionate ones.

For Side Angle Side, we don't even have 2 sides for each triangle given, so this cannot be used either.

A carnival tent is set up using a 32-foot pole as the center. The Support wires each have an angle of elevation of 38 degrees from the ground to the top of the pole. Approximately how many feet of wire is needed for one support for the tent?

Answers

Answer:

about 52 feet

Step-by-step explanation:

The figure is omitted--you may draw it to confirm my answer.

sin (38°) = 32/x

x sin (38°) = 32

x = 32 / sin (38°) = about 52 feet

. The number or expression that remains when an expression divides another expression.​

Answers

Answer:

thanks for the imformation

Maureen says that if a system of linear equations has three equations, then there could be exactly two solutions to the system. Is
Maureen correct? Justify your reasoning.

Answers

Answer:

Yes, Maureen is correct. If a system of linear equations has three equations, then there could be exactly two solutions to the system. This is because, in general, a system of linear equations with three variables will have three equations. However, if two of the equations are the same, then there will only be two equations. In this case, there will be two solutions to the system.

Step-by-step explanation:

A general formula for a parabola is y2=4px. what is the value of p in the equation y2=−4x?

Answers

The value of p is -1 in the given equation of of parabola.

What is a parabola?

A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. One way to describe a parabola is with a point called focus and a line called the directrix.

Equation for a Parabola

The general formula or the equation for representing a parabola is given by,

y² = 4px

Here,  (h,k) being the vertex of the parabola,

y = a(x-h)² + k

x = b(y-k)² + h

The focus of this parabola is given by (p, 0).

The directrix of the parabola is the line drawn perpendicular to the y-axis and traversing the point (-p, 0). The directrix is parallel to the parabola's axis.

What is the value of p in the equation for parabola?

The given equation is,

y² = -4x

Comparing this equation with the general formula of the parabola, we get,

p = -1

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the function f(x) is shown below

Answers

Answer: 2

Step-by-step explanation:

A function composed with its inverse outputs the original input.

what happens when the multiplicity of a real root is even

a. the graph crosses the y-axis
b. the graph crosses the x-axis
c. the graph is tangent to the y-axis
d. the graph is tangent to the x-axis

Answers

When the multiplicity of a real root is even, the graph of the function neither crosses nor is tangent to the x-axis. The correct answer is (c) the graph is tangent to the y-axis.

When a real root has an even multiplicity, it means that the corresponding factor appears multiple times in the factored form of the polynomial. In terms of the graph of the function, this means that the graph touches the x-axis at that root but does not cross it.

Since the graph touches the x-axis without crossing it, it remains on one side of the axis. This behavior indicates that the graph is tangent to the x-axis at the root with even multiplicity.

However, the graph can still intersect or cross the y-axis at a different point depending on other factors or terms in the polynomial. Therefore, option (a) "the graph crosses the y-axis" may or may not be true depending on the overall behavior of the function. The statement in option (b) "the graph crosses the x-axis" is incorrect for an even multiplicity root. Option (d) "the graph is tangent to the x-axis" is also incorrect for an even multiplicity root. Hence, option (c) "the graph is tangent to the y-axis" is the correct choice.

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Which graphs do not show a constant rate of change? Check all that apply.

On a coordinate plane, a parabola opens down.
On a coordinate plane, a line has a negative slope.
On a coordinate plane, a horizontal line is graphed.
On a coordinate plane, a curve curves downwards.

Answers

Answer:

a horizontal line is graphed

Step-by-step explanation:

It does not change it will always stay at the same y but just different x.
The rate of change/slope is the change in y divided by a corresponding change in x.

Hi. . .

A n s w e r : -

A, and D.

E x p l a n a t i o n :

Cause- A, and D do not show the constant rate of the change.

Hope It Helps . . .

The sides of this rectangle are marked off in centimeters. If the rectangle is enlarged proportionally so that the longer side is 35 cm, how long will the shorter side be?

PLEASE I REALLY NEED HELP (the answer is not 10)

Answers

the length of the shorter side is:L  = 13.125cm

how long will the shorter side be?

In the longer side we have 8 segments.

We know that the side measures 35 cm, then each one of the 8 segments measures:

35cm/8 = 4.375cm

Now, we can see that in the shorter side we have 3 of these segments.

Then the length of the shorter side is:

L  = 3*(4.375cm) = 13.125cm

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Question 3(Multiple Choice Worth 1 points) (08.03 LC) A box plot is shown below: A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 26 to 38 on the number line. A line in the box is at 31. The whiskers end at 20 and 43. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors. What is the median and Q1 of the data set represented on the plot? Median = 31; Q1 = 26 Median = 30; Q1 = 26 Median = 31; Q1 = 20 Median = 30; Q1 = 20

Answers

The median in the box plot is: 31

Q1 (lower quartile) = 26

What is the Median and Q1 of a a Data in a Box Plot?

The median is the value at the vertical line that divides the box.

The Q1 (lower quartile) is the value at the beginning of the edge of the box.

Thus, from the given box plot, we have the following:

Median = 31

Q1 (lower quartile) = 26

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Prove experimentally that an exterior angle is formed by producing a side of a triangle equals to the sum of non adjacent interior angle. .

Answers

It is proved in the answer that an exterior angle of the triangle equals the sum of two opposite interior angles.

What is the exterior angle property of a triangle?

If a triangle's side is created, the outside angle that results is equal to the product of the two opposite internal angles.

In the figure given below we can see:

∠BCD is the exterior angle of the triangle

∠ABC + ∠BAC + ∠BCA = 180° (Angle sum property of a triangle)

∠BCA + ∠BCD = 180°(Linear pair)

From both equations we can say that:

∠ABC + ∠BAC + ∠BCA  = ∠BCA + ∠BCD

∠ABC + ∠BAC = ∠BCD

Hence Proved

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In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-port
shots. In he second half, he player scored the same number of 3-point shots as the number of 2 point slots scored n
the first half. Which expression represents the total number of points the player scored in the game?
O 2r + 3r + 9
© 2r + 3 + 9
O 2r + 3r + 9x
© 2 + 3r + 9
Save

Answers

Answer: I thin The first one 2r+3r+9

Step-by-step explanation: Because he scored a number of 2 port shots which means he scored more than one but the 9 points is just 9 points from free throws which gives only 1 point each and 3 port shots and much as 2 point shots so 3r also

2r+3r+ just 9

A, B, and C are midpoints of ∆XYZ. What is the length of yz

Answers

Answer:

Step-by-step explanation:

Comment

When you join 2 consecutive midpoints with a line between them, the length of that line is 1/2 the length of the side opposite the line you just drew.

In other words 24 is 1/2 the length of yz.

Solution

1/2 yz = AB

AB = 24

1/2 yz = 24                 Multiply both sides by 2

2(1/2 yz) = 2*24

yz = 48

Answer

yz = 48

Find the surface area of the regular pyramid.

Answers

The surface area of the triangular pyramid shown is 94.6 in²

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The surface area of the regular pyramid is given as:

Surface area = 3(0.5 * 4.3 * 13) + (0.5 * 4.3 * 5) = 94.6 in²

The surface area of the triangular pyramid shown is 94.6 in²

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Allen is horrible at managing his money. For example, he
recently invested $100,000-part of it in a company that
makes "fish-flavored" chicken and the rest in a company
that makes spray-on vitamins. Somehow he managed to earn
a 3% profit on the fish-flavored chicken investment and 1%
profit on the spray-on vitamin deal. If Allen made a profit
of $2,600 from both investments, how much did he invest in
the fish-flavored chicken company?

Answers

Answer:

$80,000

Step-by-step explanation:

Define the variables:

Let x =  "fish-flavored" chicken company investment (in dollars)

Let y = spray-on vitamins company investment (in dollars)

If Allen invested a total of $100,000:

⇒ x + y = 100000

Given:

3% profit on "fish-flavored" chicken investment 1% profit on pray-on vitamins investmentTotal profit = $2,600

⇒ 0.03x + 0.01y = 2600

Rewrite the first equation to make y the subject:

⇒ y = 100000 - x

Substitute into the second equation and solve for x:

⇒ 0.03x + 0.01(100000 - x) = 2600

⇒ 0.03x + 1000 - 0.01x = 2600

⇒ 0.02x + 1000 = 2600

⇒ 0.02x = 1600

⇒ x = 80000

Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.

explain please thanks

Answers

Answer:

26542%

Step-by-step explanation:

12,209,400/46,000 = 265.421

265.421 × 100 ≈ 26542%

The angle between the lines joining the origin to the points of intersection of the straight line y = 3x + 2 with the curve x² + 2xy + 3y² + 4x + 8y - 11 = 0 is?​

Answers

The angle between the lines joining the origin to the points of intersection of the degenerated elipse and the straight line is approximately 136.635°.

What is the measure of a triangle?

We have the graphs of a degenerated ellipse and a line, which intercept each other at points (x₁, y₁) = (-0.293, 1.121) and (x₂, y₂) = (- 1.707, - 3.121). A representation of the situation is shown in the image attached below.

Now we find the angle between the two lines by dot product:

[tex]\cos \theta = \frac{(- 0.293, 1.121)\,\bullet \,(- 1.707, - 3.121)}{1.159 \,\cdot\, 3.557}[/tex]

[tex]\cos \theta = - 0.727[/tex]

θ ≈ 136.635°

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Find the value of x for which ABCD must be a parallelogram.




1

7

14

28



Note:This better be worth my 27 points

Answers

Answer:

A. 1

Step-by-step explanation:

18-4x=7x+7

Use this equation to find x.

Simplify.

18-4x=7x+7

Subtract 7 from both sides.

11-4x=7x

Add 4x to both sides.

11=11x

Divide 11 from both sides.

x=1

Hope this helps!

Express in exponential form.
log(10)0.001 = -3

Answers

Answer:

this gvfyftvyccg c

Step-by-step explanation:

Question content area top Part 1 Three friends all live on the same street that runs west to east. lives blocks from . lives from . If the street is represented by a number line and ​'s house is located at​ 0, what are the possible locations for ​'s ​house?

Answers

Based on the information, it can be inferred that Carl's house is 6 blocks from Ann's house.

How to identify where each friend's house is?

To identify where each friend's house is, we must graph the information provided as shown below.

Once we have made the graph we will identify that Carl's house is 6 blocks east of Ann's house.

Note: This question is incomplete because there is some information missing. Here is the missing information:

Ben lives 4 blocks from Ann.Carl lives 2 blocks from Ben.Ann​'s house is located at​ 0.

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Use the substitutions u= 1/x^2 and v= 1/y^2 to solve the system of equations. express numbers as integers or simplified fractions.
-5/x^2 + 1/y^2 =-16
13/x^2- 1/y^2 =48

Answers

Answer:

-5 u + 1 v = (-16)

12 u - 1v = 48

adding,

7 u = 32

u = 32/7

V = (-16) + 5(32/7)

V = (-16) +160/7

V = -112 + 160/7

V = 48/7

Work out the rule for the nth term then work out the 100 term
th

a) 3, 5, 7, 9, 11, 13....

b) 12, 20, 28, 36, 44....

c) 19, 29, 39, 49, 59....

d) 7, 10, 13, 16, 19....

e) 14, 20, 26, 32, 38....

f) 55, 60, 65, 70, 75...

g) 8, 17, 26, 35, 44....

Answers

1234567891011121314151617181920

Can someone please help me solve this question? Pls provide a step by step explanation too… Ty!

Answers

Answer:B 1/2

I can't type math symbols well in BRAINLY, so I use pictures╯﹏╰

[(x^2-9)/(4x-12)]/[(x+3)/2]
= (x^2-9)/(4x-12) • 2/(x+3)
= (x-3)(x+3)/4(x-3) • 2/(x+3)
= 2/4
= 1/2
Then
The correct answer is B.

A sports club rewards teams based on overall points earned in a season. The data for points are shown in the table, where Low represents the fewest points scored and High represents the highest points scored by a single team member.

Team Low High Range Mean Median IQR σ
Team L 4 17 13 9.4 9 9.75 4.8
Team M 6 14 8 9.7 9.5 6.25 3.2
Team N 1 20 19 13 14.5 4.75 5.6
Part A: If the club wants to award the team that has the most consistent scoring among its team members, which team should it choose and why? Justify your answer mathematically. (5 points)

Part B: If the club wants to award the team with the highest average score, which team should it choose and why? Justify your answer mathematically.

Answers

Answer:

PART A:

The range, the IQR (inter-quartile range) and the standard deviations are measures which are used to measure the spread of a data set.

A dataset is more consistent relative to another data set when the standard deviation is less than that of the other data set.

From the table, it can be seen that Team C has the least standard deviation.

Therefore, If the club wants to award the team that has the most consistent scoring among its team members, team C should be chosen.

PART B

The mean and the median is a measure of center of a data set.

The mean describes the average of a data set.

From the table, it can be seen that Team B has the highest average score.

Therefore, If the club wants to award the team with the highest average score, team B should be chosen.

Other Questions
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[8] Top with breadcrumbs and bake at 350F for 20 minutes.WHATS THE ANSWR!!!Which revision would make the instructions easier to follow?adding an initial step to specify how to cook the pastabreaking step 5 into two separate steps for whisking and adding cheesespecifying what kind of milk to use in step 4inserting a step with instructions to get a strainer for the cooked pasta Having trouble question is in attachment Mr. Madaren asks, "How many years did you work for your previous employer?" Which type of question is Mr. Madaren using? Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar) How does the federal trade commission regulate business as an administrative agency?. A cube, whose mass is 0.660 kg, is attached to a spring with a force constant of 106 N/m. The cube rests upon a frictionless, horizontal surface (shown in the figure below). The cube is pulled to the right a distance A = 0.140 m from its equilibrium position (the vertical dashed line) and held motionless. The cube is then released from rest. (a) At the instant of release, what is the magnitude of the spring force (in N) acting upon the cube? ________N (b) At that very instant, what is the magnitude of the cube's acceleration (in m/s2)? _____ m/s2 (c)In what direction does the acceleration vector point at the instant of release? - The direction is not defined (i.e., the acceleration is zero). -Away from the equilibrium position (i.e., to the right in the figure). - Toward the equilibrium position (i.e., to the left in the figure). - You cannot tell without more information. ***Please refer to attached photo What would happen if manufacturing were to stop everywhere? no one would import the products we use. no one would import the products we use. no one would transport the items we use. no one would transport the items we use. no one would produce the items we use every day. no one would produce the items we use every day. On March 4, Micro Sales makes $13,500 in sales on bank credit cards which charge a 3% service charge and deposits the funds into Micro Sales' bank accounts at the end of the business day.Required:Journalize the sales and recognition of expense. Refer to the Chart of Accounts for exact wording of account titles. Round your answers to two decimal places. A trader bought 150 articles for $270.00. If he madeprofit of 27%, find the selling price for each article Whats the correct answer answer asap for brainlist Type the equation for the graph below What is the median of the data set 50,54,62,48,49,52 AREA UNDER A CURVE - GEOMETRY Prepare a project report on various samples of a) a mixture b) a compoundc) an element ( metal or non metal)( 2 from each ) highlighting the main characteristics features of elements, compounds and mixtures.detailed answer plsss The authority of a court to review and possibly invalidate laws or executive actions that it determines are in violation of the constitution and the case that established that authority in the united states are. Paul needs to find 310% of 72. Which expression should he use? In the first quadrant, you start at (6,7) and move 5units down These points are linear.Find the slope.x-3-2-1 0 1 2y-8 0 8 16 24 32slope = [?]Enter The population of a town was 25,00 people then 3,200 people moved away.What was the percent of decrease