Step 1: Calculating distance at maximum speed (Please show your work) If the cheetah sprinted at maximum speed, how far would the cheetah traveled?

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

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

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

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

Approximately 11.667 miles

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

the 4th choice is the correct one

step-by-step explanation: