Question

Step 1: Calculating distance at maximum speed (Please show your work)

Answer 1

Part A

Assuming the cheetah's max speed is 70 mph, this means the animal is traveling at about 1.167 miles per minute.

Since,

70 mph = (70 mi/1 hr)*(1 hr/60 min) = 7/6 = 1.167 miles per minute

Basically you divide 70 by 60 to get this approximate result.

If t is the number of minutes, then 1.167t is the total distance the cheetah travels in t minutes. This is assuming the cheetah can keep up this max speed in this duration. Let's make d the distance traveled, so,

Answer in decimal form:  d = 1.167t

Answer in fraction form:  d = (7/6)t

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Part B

Plug in t = 10 and evaluate like so

d = (7/6)*t

d = (7/6)*10

d = (7/6)*(10/1)

d = (7*10)/(6*1)

d = (7*2*5)/(2*3)

d = (7*5)/3

d = 35/3

d = 11.667

The cheetah travels approximately 11.667 miles

Answer: Approximately 11.667 miles