After 8 months, you have been able to save $937. You have the ability to save $130 per month. Build a model and write an explanation of the y- intercept. What is the rate of change?

Answers

Answer 1

Given:

After 8 months, you have been able to save $937.

You have the ability to save $130 per month.

To find:

The model for the situation and y-intercept and rate of change.

Solution:

Let y be the ability to saving after x months.

Ability to save in one month = $130

Ability to save in x months = $130x

So, total ability is

[tex]y=130x+b[/tex]      ...(i)

where, b is initial savings.

After 8 months, you have been able to save $937.  So, the point is (8,937).

Put x=8 and y=937 in (i),

[tex]937=130(8)+b[/tex]

[tex]937=1040+b[/tex]

[tex]937-1040=b[/tex]

[tex]-103=b[/tex]

So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.

Put b=-103 in (i).

[tex]y=130x+(-103)[/tex]  

[tex]y=130x-103[/tex]

On comparing with slope intercept form, we get

Slope = 130 and y-intercept = -103

Therefore, the slope is 130 and y-intercept is -103.


Related Questions

Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
I need help

Answers

Answer:

$149

Step-by-step explanation:

As it is 35% off, $97 is therefore 65% of the full price [because 100 -35 = 65].

You can then divide 97 by 65 [1.49 to 2 d.p] to get 1% of the full price. 100% is the full price so we multiply 1.49 by 100 and the result of that is 149.

Solve the equation.

8 – 2x = –8x + 14

Will give Brainliest if explained.

Answers

Answer:

x = 1/3

Step-by-step explanation:

Move all terms containing x to the left side of the equation.

8+6x=10

Move all terms not containing x to the right side of the equation

6x=2

Divide each term by 6 and simplify.

Exact Form:

x=1/3

Decimal Form:

x=0.3333333333

Hope this helps!

-y=-6x-3
write in the slope-intercept form please!: y=mx+b
please show work too!

Answers

Answer:

y = 6x + 3

Step-by-step explanation:

Since you can't have a negative y in a y = mx + b equation you have to make it postive. You also have to do everything you do on one side to the other. To do this you have to multiply everything by -1. This will make everything positive b/c it cancels out the other negative. (Two negatives equals a positive) You should be left with y = 6x + 3. The -1 cancelled the -y, -6x, and -3 so you add 3 instead of subtract it.

y = 6x + 3

Algebra 1
S.4 Find the slope from
Find the slope of the line that passes through (3, 4) and (10, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or Integer.
Submit

Answers

Answer:

-3/7

Step-by-step explanation:

slope = (y2-y1)/ (x2-x1) = 4-1/3-10 = 3/-7

Help me solve this problem please

Answers

Answer:

y = -2x + 17

Step-by-step explanation:

y has to equal 5:

incorrect

y = -2x - 17

y = -2(6) - 17

y = -12 - 17

y = -29

incorrect

y = -2x - 16

y = -2(6) - 16

y = -12 - 16

y = -28

incorrect

y = -2x + 16

y = -2(6) + 16

y = -12 + 16

y = 4

correct

y = -2x + 17

y = -2(6) + 17

y = -12 + 17

y = 5

Glven: -7x < -21. Choose the solution set.​

Answers

Answer:

x > 3

Step-by-step explanation:

-7x < -21

Divide each side by -7, remembering to flip the inequality

-7x/-7 > -21/-7

x > 3

Answer:

x > 3

Step-by-step explanation:

Get the variable (x) by itself. Divide both sides by -7. Since a negative/ negative = positive, the 3 is positive.  When you multiply or divide by a negative, the inequality sign flips. I hope this helped.

it had to dell with Finding the Slope from Points​

Answers

Answer:

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

Step-by-step explanation:

from google

Emily can ride her scooter 18 miles in 50 minutes.

c. What is her unit rate in miles per hour?

Answers

Answer:

22.5 miles per hour (rounded answer)

Step-by-step explanation:

This is a fraction equal to

18 miles ÷ 0.8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 0.8

18 miles ÷ 0.8

0.8 hours ÷ 0.8

=  

22.5 miles

1 hour

=  

22.5 miles

hour

= 22.5 miles per hour

Answer:

there is no miles per hour because she wasn't riding for an hour

Math inequality help

Answers

This is how it will look

4) What type of angle pair are A. vertical angles
B. supplementary angles
C. adjacent angles
D. linear pair

Answers

Answer:

C. adjacent angles

Hope this helps also please mark brainliest :)

Giving BRAINLIEST Select the table that represents a linear function. (Graph them if necessary.)

A.
x 0 1 2 3
y 0 2 5 8

B.
x 0 1 2 3
y 8 6 7 5

C.
x 0 1 2 3
y 10 9 7 4

D.
x 0 1 2 3
y 11 8 5 2

Answers

answer is a because while doing it in graph it seems a straight line

anyone know how to do this one??

Answers

Answer:

y=1/3x+5

Step-by-step explanation:

y=1/3x+5 have a nice day hope you get it right

GUYS PLEASE HELP LIKE I MEAN IT CAN SOMEONE TELL ME THE ANSWER WITH AN EXPLANATION

Answers

Answer:

I think its 183 1/3

It's what I figured out & the other answer says the same.

Step-by-step explanation:

You like TommyInnit, too? Poggers! <3

Answer:

183 1/3

Step-by-step explanation:

I'm assuming that x and y are directly proportional.

So anyways:

5.5 divided by 3/4 is 7 1/3.

Because this is directly proportianol, you'll also have to mutiply y by 7 1/3.

So: 25 times 7 1/3 equal to 183 1/3

Hope this helps!

4. If you are given that plq and p || r,
what can you conclude about lines q and r?
State the theorem that justifies that conclusion.

Answers

What I don’t get that

How do I get the answers down below? Could anyone help me? I will give brainliest and 25 points :)))
In the figure below, the horizontal lines are parallel. Find the measure of the labeled angles: 2y+2 and 4y-2

THE ANSWERS ARE:
(2y+2)=62degrees
(4y-2)=118degrees
y=30

Answers

Answer:

Step-by-step explanation:

The angles that you have shown are called same side exterior angles.

All same side exterior angles add to 180 degrees

Since we know this, we can make the following equation:

2y+2+4y-2=180

6y=180

y=30

To get each angle you can plug in y:

2*30+2=62

4*30-2=118

I hope this helps :)

convert 3 √5^2 to fraction

Answers

Answer:

15 (simplified)

Step-by-step explanation:

What is the measure of angle b?
A) 54
B) 46
C) 126
D) 136

Answers

a. 54° because opposite angles (i forgot the actual term) are equal
C. 126 bc you add up to 180 so I subtract 54 to 180 and got 126

which is the correct curve for y=3/x

What is b) please help I will give 5 points or even all of them. PLEASE PLEASE PLEAS HELP!!!!!​

Answers

Answer:

A

Step-by-step explanation:

If we evaluate 3/x at x=1, we get 3/1 = 3.

The only one that showed that is graph A, and we can further check by evaluating other points, such as when x = 1/2, y = 6, and that's shown on graph A.

If this helped, consider giving brainliest.

Graph A, correctly represents the function y = x/3.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From the table of y = 3/x,

The value of (x, y) are (0.5, 6), (1, 3), (2, 1.5), (3, 1) and (4, 0.75).

Now, Observe graphs A, B, and C.

Graph A, when x = 0.5, y = 6, when x = 1 y = 3 so graph A matches with our table.

learn more about graphs here :

https://brainly.com/question/2288321

#SPJ2

Can anyone help me with this?

Answers

Answer:sure

Step-by-step explanation:

Answer:

the answer would be 3

Step-by-step explanation:

plz mark brainly

PLEASE HELP W MATHHHH

Answers

Answer:

(15m^2 + 5)

Step-by-step explanation:

(m2 - 3m + 19 ) + (2m2 + m) + (4m2 - 7) + (2m2 + m) + (4m2 - 7) + (2m2 + m)

15m2 + 0m + 5

=> 15m^2 + 5

Answer:

try adding all the sides up

Step-by-step explanation:

Question, write an expression representing the supplies needed. 1. She needs one mouse for each snake, plus two extra mice. How many mice are needed if the number of the snakesas: a. 10 b. 6 C. X

Answers

Answer:

a. 12 mice

b. 8 mice

c. (X + 2) mice

Step-by-step explanation:

Given that one mouse is required for each snake, this implies that a snake is accompanied by a mouse. But two extra mice are included, let the number of snake be represented by N and number of mice be represented by L.

Supply needed = N + L + 2

                          = 2N + 2      (∵ N = L)

So that:

Number of mice needed = N + 2

a. When the number of snake is 10, the number of mice needed would be:

Number of mice needed = 10 + 2

                         = 12

Number of mice needed is 12.

b. When the number of snake is 6, the number of mice needed would be:

Number of mice needed = 6 + 2

                         = 8

Number of mice needed is 8.

c. When the number of snake is X, the number of mice needed would be:

Number of mice needed = X + 2

likewise 133 degree is equal to 87 degree in the second at what temperature will both thermometer read the same​

Answers

Here's your answer..........

The inside of an ice cream scoop...

Answers

Answer:

D

Step-by-step explanation:

I cannot assure you this, because it is extremely hard for me too. It is my best guess.

Plz mark as brainliest!!!

Evaluating Expressions
Evaluate the expressions for the given value and match them with the simplified answer.
5 - x/3 for x = -3
2
- 2 + 2x/3 for x = 6
6
2 - 3x4 for x = 4
0
-3 + x/2 for x = 6
-1
() Intro
Done

Answers

1) 6
2) 2
3) -1
4) 0

+++

Evaluating the given expressions and simplifying the answers, we would have:

1. 6

2. 2

3. -1

4. 0

How do you Evaluate an Expression?

To evaluate an expression, plug in the value of the variable given and simplify.

Thus:

1. 5 - x/3 for x = -3

Substitute x = -3 into the expression

5 - (-3)/3 = 5 - (-1) = 6

2. - 2 + 2x/3 for x = 6

-2 + 2(6)/3

-2 + 4

= 2

3. 2 - 3x/4 for x = 4

2 - 3(4)/4

2 - 3

= -1

4. -3 + x/2 for x = 6

-3 + 6/2

-3 + 3

= 0

Therefore, evaluating the given expressions and simplifying the answers, we would have:

1. 6

2. 2

3. -1

4. 0

Learn more about evaluation of expression on:

https://brainly.com/question/3590570

Please help me with my work

Answers

Answer:

top left is "same" top right is "parallel"

if possible can you include your method? :)

Answers

Step-by-step explanation:

11/15 = 73.333/100

73.333/100 = 0.73333

0.73333 = 0.73 (2sf/2dp)

Answer:

73/100

Step-by-step explanation

Since 0.73 =11/15 is false, there is no solution.

No solution

0.73  is the same as  73/100

so the answer is

73/100

in decimal form is 0.73

4 2/3 miles in 3/4 hour
4/23 divided by 3/4 ?

NEED FAST ANSWERS !

Answers

Answer:

= 12 miles per hour

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

=  

12 miles

1 hour

=  

12 miles

hour

= 12 miles per hour

spimplyfy 2x+4-3x+2+3x2 x + 4 − 3 x + 2 + 3 x

Answers

Answer:

12x + 12  

Step-by-step explanation:

2x+4-3x+2+3x(2)+x+ 4 − 3 x + 2 + 3 x

Solve 3x(2) = 6x

Next combine like terms

Like terms:

2x + 3x + 6x + 1x + (-3x) + 3x = 12x

4 + 2 + 4 + 2 = 12

Rewrite simplified

12x + 12  

^^This is the correct answer assuming that 3x2 x is 3x(2) + x

Which represents the solution up above ^^^^^^^^^^

Answers

Answer:

-2x <= x < 3

Step-by-step explanation:

Subtract 4 from all sections to isolate the x and then divide everything by 3 to make there be only 1 x

Choose whether the probability is mutually exclusive or not
answer choice is:
mutually exclusive or not mutually exclusive

P(A) = 2/5 P(B) = 1/2 P(A or B) = 9/10

Answers

9514 1404 393

Answer:

  mutually exclusive

Step-by-step explanation:

The formula of interest is ...

  P(A or B) = P(A) + P(B) - P(A and B)

Filling in the given values, we have ...

  9/10 = 2/5 + 1/2 - P(A and B)

Solving for P(A and B), we get ...

  P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10

  P(A and B) = 0

__

Events are mutually exclusive when they can never happen at the same time. That is, P(A and B) = 0.

The events A and B are mutually exclusive.

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