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Dmitrij [34]
3 years ago
6

A coordinate plane showing the Speed of a Red Kangaroo. The x-axis shows Time in seconds and the y-axis shows Distance Traveled

in feet. There is a straight line with a positive slope starting at (0, 0) and passing through point A at (3, 150), then point B at (4, 200) and continues through (7, 350).
Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions.

What is the change in y-values from
Point A to Point B?

What is the change in x-values from
Point A to Point B?

What is the rate of change of the linear function?

feet per second
Mathematics
2 answers:
alina1380 [7]3 years ago
7 0

Answer:

What is the change in y-values from

Point A to Point B?  

50

What is the change in x-values from

Point A to Point B?  

1

What is the rate of change of the linear function?

50

feet per second

Step-by-step explanation:

Leona [35]3 years ago
7 0

Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions.

What is the change in y-values from

Point A to Point B?

50

What is the change in x-values from

Point A to Point B?

1

What is the rate of change of the linear function?

50

feet per second

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Tom and his best friend are going to join a gym. Tom saw that Platinum gym has a sale with a one time fee of $90 and a monthly f
worty [1.4K]

Answer:

<u>Part 1:</u>

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

<u>Part 2:</u>  $270

<u>Part 3:</u>  $320

<u>Part 4:</u>  11 months

<u>Part 5:</u>  See explanation below

Step-by-step explanation:

<u>Part 1:</u>

Let "x" be the number of months:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

<u>Part 2:</u>

We put x = 6 in platinum gym's equation and get our answer.

90 + 30x

90 + 30(6)

90 + 180

=$270

<u>Part 3:</u>

We put x = 6 into super fit's equation and get our answer.

200 + 20x

200 + 20(6)

200 + 120

=$320

<u>Part 4:</u>

To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:

90 + 30x = 200 + 20x

10x = 110

x = 11

So 11 months

<u>Part 5:</u>

We know for 11 months, they will cost same. Let's check for 10 months and 12 months.

In 10 months:

Platinum = 90 + 30(10) = 390

Super Fit = 200 + 20(10) = 400

In 12 months:

Platinum = 90 + 30(12) = 450

Super Fit = 200 + 20(12) = 440

Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.

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Answer:

Step-by-step explanation:

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