# Cheetah Chase Challenge Worksheet Answers

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```					                                                                  Cheetah Chase Challenge Worksheet Answers

1. Give an example of how the slope (rate of change) can be written in
more than one way for one of the animals listed above?
300 ft/5 sec can also be written as 60ft/1 sec

2. How long would it take the Cheetah to catch the Impala? Explain
Cheetah y= 105 x + 0 Impala y= 90x + 180 12 seconds satisfies
both equations

3. If the Cheetah decided to chase a Pronghorn Antelope that can cover
234 feet in 3 seconds and the Antelope has a 220 foot head start, what
would the graph for the Antelope look like below (assume constant
speeds)?

480
●          454 feet
Distance from Cheetah’s Starting Point (in feet)

440                              220 + 234
400
360
320
●
280
240                   298 feet
●                220 + 78
200
160
120
80
40
0
0    1   2   3    4     5    6   7    8    9    10   11   12   13   14   15
Time (in seconds)
4. Assuming constant speeds, how long would it take the Cheetah to
catch the Pronghorn Antelope?

Pronghorn Antelope y = 78x + 220

Cheetah y = 105x + 0

If you manipulate the x variable (seconds) until they are at the same
distance, it should take just a little more than 8.1 seconds.

```
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