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
