Step 1: Calculating distance at maximum speed

If the cheetah sprinted at maximum speed, how far would the cheetah have traveled?

1. Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, units of distance and time must agree. Use the conversion information from the warm-up to write a rate in miles per minute.

2. Let t = 10 and solve for the distance the cheetah covered in 10 minutes.

Step 2: Calculating distance using varied speeds

Suppose the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes.

1. How far would the cheetah have traveled in the first 8 minutes? Show how you arrived at your answer.

2. How far would the cheetah have traveled in the next 8 minutes? Show how you arrived at your answer.

3. How much farther did the cheetah travel in the first 8 minutes than in the second 8 minutes?

4. The cheetah traveled 1.75 times faster for the first 8 minutes than it did for the second 8 minutes. Was the distance traveled during the first 8 minutes 1.75 times greater than the distance traveled during the second 8 minutes? Show the calculation to justify your answer.

5. If the cheetah made a round-trip and took half the amount of time on the return trip as on the front end of the trip, what would be the relationship between the average rates on each leg of the trip? Using a complete sentence, explain how you arrived at this conclusion.

DETAILED ASSIGNMENT

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