Tyler was at the amusement park. He walked at a steady pace from the ticket booth to the bumper
cars.

The point on the graph shows his
arrival at the bumper cars. What do
the coordinates of the point tell us
about the situation?

What does the point (0,0) mean in
this situation?


What is the constant of
proportionality for the relationship
between time and distance? What
does it tell you about Tyler's walk?
Where do you see it in the graph?

Tyler Was At The Amusement Park. He Walked At A Steady Pace From The Ticket Booth To The Bumpercars.The

Answers

Answer 1

9514 1404 393

Answer:

  a) It took 40 seconds to go 50 meters from the ticket booth

  b) Tyler started at the ticket booth

  c) k = 5/4

  d) Tyler walked at the rate of 1.25 meters per second

  e) The constant of proportionality is the slope of the line from (0, 0) to (40, 50). It is not shown on the graph.

Step-by-step explanation:

a) The axis labels on the graph tell you that 40 represents the number of seconds of elapsed time, and 50 represents the number of meters from the ticket booth. With the information in the problem statement, the coordinates (40, 50) tell us it took Tyler 40 seconds to walk 50 meters from the ticket booth to the bumper cars.

__

b) The point (0, 0) tells us that Tyler started counting time when he left the ticket booth.

__

c) The constant of proportionality is the ratio of the second coordinate to the first. The constant of proportionality is 50/40 = 5/4 = 1.25. (Its units are meters per second.)

__

d) The constant of proportionality tells us that Tyler's steady pace was 1.25 meters per second.

__

e) The constant of proportionality is not shown on the graph. It is the slope of a line between the origin and the point (40, 50).


Related Questions

(-Z - 8) - (62-5)
Help me please thank

Answers

Answer: -z-65

Step-by-step explanation:

-Z-65 dhsudisjsn sorry 20 letters lol

-2(3-x)=10
-What is x
-Show how you solved it

Answers

Answer:

2x3-x=10

6-x=10

x=10+6

.

. .x=16

A government agency hires you to provide consulting on new rules regarding vehicle license plates. The agency is considering an all-numbers license plate that has six slots (digits 0-9 with no duplicate digits allowed). How many possible license plates are there

Answers

Answer:

There are 151,200 possible license plates.

Step-by-step explanation:

The order in which the digits are positioned is important(for example, 012345 is a different plate than 102345). No repeat digits are allowed, which means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

There are 10 possible digits(from 0 to 9).

The plate has 6 slots.

So

[tex]P_{(10,6)} = \frac{10!}{(10-6)!} = 151200[/tex]

There are 151,200 possible license plates.

* Use order of operations to solve the following.

* Use order of operations to solve the following.
3 + 5 2 × 2 −7

Answers

The answer is 100 if that 5 and 2 is separate

Answer:

5

3+5 2×2 -7

8+4-7

12-7

5

^^^^

the number of candy bars most people can eat in one sitting has an order of magnitude of 3 true or false?

Answers

True is the answer hope this helps

The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing process last week.
Technician Shutdowns
Taylor 2
Hurley 1
Gupta 3
Rousche 5
Huang 4
A. How many samples, without replacement, of size two are possible?
B. Compute the mean of the sample means and compare it to the population mean.
C. The mean of the sample means is_____.
D. The population mean is_____.
E. Both means are:_____.
a. not equal
b. equal.

Answers

Answer:

it is a

Step-by-step explanation:

i dont realy like its hard for me to explain

Rewrite the expression using the Distributive Property. Explain your answer or show your work.

6(x−4)

Answers

Answer:

6x - 24.

Step-by-step explanation:

Distributive Property is:

a(b + c)

= ab + ac

So  for  this expression

6(x - 4)

= 6*x + 6 * -4

= 6x - 24.

At the Boxer carnival, you can exchange 56 tickets for various assortments of
prizes. Some of those assortments are below. How many tickets does it take
to get a single goldfish?
1 goldfish, 6 tacky mirrors, 2 stuffed tiger
3 goldfish, 2 stuffed tiger
4 goldfish, 2 tacky mirrors

Answers

Answer:

Step-by-step explanation:

12 tickets

HELP NOW PLEASE ASAP

Answers

I’ve attached an image with the math and answer

Which of these must be true

Answers

B) Line HI and FI are congruent

because they are both the radius of the circles and their central angles are also congruent.

What is the remainder when
12345×54321 is divided by 9?

Answers

Answer:

0

Step-by-step explanation:

there isn't a reminder, you get 670592745

The value of the equation is A = 7,45,10,305 and the remainder is 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 12345

Let the second number be q = 54321

Now , A = ( p x q ) / 9

Substituting the values in the equation , we get

A = ( 12345 x 54321 ) / 9

On simplifying the equation , we get

A = 67,05,92,745 / 9

On further simplification , we get

A = 7,45,10,305

And , the remainder of the equation is 0

Therefore , the value of A is 7,45,10,305

Hence , the equation is A = 7,45,10,305 and the remainder is zero

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

x + 11 < 6
Solve and graph on a number line

Answers

Answer & Step-by-step explanation:

So I can't exactly graph exactly, but I'll try...

To solve:

x+11<6  Subtract 11 on both sides.

x<-5

To graph:

<-------|---------o---------|-------->

        -6        -5         -4

(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)

Hope this helps! Have an awesome day ( • ω • )^

Find the coordinates the intersection of the diagonals of parallelogram QRST if with vertices Q(-2,-1), R(-3,6), S(1,5), and T(2,-2) HELP PLS

Answers

Answer:

(-0.5, 2)

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

Intersection point is the midpoint of either diagonal.

Let's take QS and calculate midpoint using midpoint formula:

Q(-2, -1), S(1, 5)x = (x1 + x2)/2 = (-2 + 1)/2 = -1/2 = -0.5y = (y1 + y2)/2 = (-1 + 5)/2 = 4/2 = 2

Point (-0.5, 2) is the answer

I need help with this question geometry

Answers

Answer:

sorry

Step-by-step explanation:

Answer:

y=15

∠P=113

∠Q=67

∠R=113

∠S=67

Step-by-step explanation:

10y-37+4y+7=180

14y=210

y=15

∠P=10(15)-37=113

∠Q=180-113=67

Which expression has the same value as the one below?
33 + (-10)
O Α. 43
Ο Β. 33
Ο C. 33 - 10
O D. 33 + 10

Answers

The answer is C. 33-10

Write an equation for the description.
A number x increased by 17 is 112.

Answers

Answer:

x+17 = 112

Step-by-step explanation:

Vocabulary:

Increased = Addition

Is = Equal Sign

x+17 = 112

7x
5x+18
Find the size of the smallest angle

Answers

Answer

Not sure is there supposed to be a pic?

Step-by-step explanation:

62.837 expanded form decimal

Answers

Answer:

60+2+0.8+0.03+0.007

Step-by-step explanation:

help fast plz with that ​

Answers

THE ANSWER WOULD BE B!!!
Pretty sure it’s B !!! :D

Sarah interviewed for a job that promised her a starting salary of $37,000
with a $1550 raise at the end of each year. What will her salary be during
her sixth year if she accepts the job

Answers

Hdbdjendjfnd djdjxjwnshxhsndjxndkcnf
1,550 x 6 (# of years) = 9,300 || 9,300 + $37,000. Her salary would be $37,000. Hope this helps!

Select all the expressions that are rational numbers.
A. 3.14159...
B. -9.1234567123...
C. -9.293847210103938...
D. 22/7
E. -26

Answers

..........The answer is D

Sarah's family raises chickens. They buy 15 pounds of chicken feed per week. If the chickens eat all but 4 pounds, how many ounces of feed did they eat?

Answers

Answer:

144 ounces

Step-by-step explanation:

Plz mark as brainliest

A car that has a wheel radius of 1.5 feet travels 30 miles in 45 minutes. How fast are the wheels spinning? Give your answer in revolutions per minute.​

Answers

Answer:

373.43 rev/min

Step-by-step explanation:

Given data

r= 1.5ft

v=30 miles per 45 minutes

convert miles per hour to ft per minute

=30miles/45 minutes* 5280ft/1 mile

=158400/45 minutes

v=3520 feet per minute

so

v=wr

substitute

3520= w*1.5

w= 3520/1.5

w=2346.66 rad/min

Convert to rev/min

=2346.66 rad/min*1rev/2*π rad

=2346.66/2*3.142

=2346.66/6.284

=373.43 rev/min

Hence the answer is 373.43 rev/min

Given that WXYZ is a rectangle and ZY=2x + 3, and WX=x +4, then WX=

Answers

Answer:

7

Step-by-step explanation:

Answer:

WX = 5

Step-by-step explanation:

2x + 3 = x + 4

x = 1

WX = 2(1) + 3 = 5



9. When Diego's phone is fully charged, it will last 18 hours. How much time 1 point

is left on his phone when the battery has 15% charge remaining? *

Answers

Answer:

2.7 hours

Step-by-step explanation:

Assuming that each percentage is worth the same amount of time. Then we can use the Rule of three since this is a ratio problem and we are given three values and a variable which is the amount of time that the battery lasts at 15%. This variable is represented by the letter x. To solve this we simply multiply the diagonal values and divide by the last remaining value which gives us the value of the variable like so...

100%  <====>  18 hours

 15%   <====>  x hours

(15 * 18) / 100 = 2.7 hours

Finally, we can see that 15% charge on the phone will last 2.7 hours

Taylor charges $15 for the first hour of dog walking and $10 for each additional

hour or fraction of an hour. The rates that Lucy charges for x hours of dog walking

are modeled with the function shown.

f(x) =

{

20x, 0
10x. 2
5x, x >4

Who will charge more to walk a dog for 2.5 hours, Taylor or Lucy? How much more?

Who?:

How much more?:

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours of dog walking. Taylor charges $15 for the first hour and $10 for each additional hour. Therefore:

Let g(x) represent how much Taylor charges. Hence:

g(x) = 15   for 0 ≤ x ≤ 1

g(x) = 15 + 10(x - 1) = 15 + 10x - 10 = 10x + 5   for x > 1

g(x) can be represented by the piecewise function:

[tex]g(x)=\left \{ {{15\ \ \ \ \ \ for\ 0\leq x\leq 1} \atop {10x+5\ \ for\ x>1}} \right.[/tex]

Lucy charges f(x) is modeled by the piecewise function:

[tex]f(x)=\left \{ {{20x\ \ \ \ \ \ for\ 0\leq x\leq 2} \atop {10x\ \ \ for\ 0< x< 4}} \right.[/tex]

Therefore the charge for walking a dog for 2.5 hours by either Taylor or Lucy is:

For Taylor; f(2.5) = 10(2.5) + 5 = $30

For Lucy; g(2.5) = 10(2.5) = $25

Therefore Taylor charges more by walking a dog for 2.5 hours. Taylors charge is $5 more than Lucy charge ($30 - $25).

Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year since then. What is the current population of this town?​

Answers

Answer:

25,200

Step-by-step explanation:

Increase in population per year =8%=((100+8)*10,000)/100=10,800. So,there will be an increment of 800 people to the population every year. =>after twenty years,the total population=10,000+19*(800)=25,200.

Answer:

10800

Step-by-step explanation:

10000+8%=10800

hope this helps:)

Divide. Reduce the answer to lowest terms. 2/7 • 15/7

Answers

30/49
the fraction cant be reduced so the final answer is just 30/49

On Sunday, Sheldon bought 412 kg of plant food. He used 123kg on his strawberry plants and used 14 kg for his tomato plants.

How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Answers

Answer:

275

Step-by-step explanation:

412kg - 123kg - 14kg = 275kg left

Because he used 275 kg out of 412kg

emily paints at a constant rate. she can paint 32 square feet in 5 minutes. what area,A, in square feet, can she paint in t minutes? a. write the linear equation in two variables that represents the number of square feet Emily can paint any given time interval.

Answers

Answer: A(t) = (6.4 ft^2/min)*t

Step-by-step explanation:

We know that Emily paints at a constant rate, and she can paint 32 ft^2 in 5 minutes.

Then if we take the quotient of these two quantities, we will find the amount she can paint in one minute, this is:

32ft^2/5min = (32/5) ft^2/min = 6.4 ft^2/min.

Then if she paints for t minutes, the area that she can cover can be written as:

A(t) = (6.4 ft^2/min)*t

This is the linear equation we wanted to find.

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