Question

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

a) Distance = Speed × t
b) Distance = 1/t
c) Distance = t/Speed
d) Distance = Speed ÷ t

Answer 1

To represent the distance the cheetah covered in terms of time, we need to use the equation Distance = Speed × time. The speed needs to be converted from meters per second to miles per minute. The equation can be expressed as: Distance = (Speed × t) × (1 mile/1609.34 meters) ÷ (1 minute/60 seconds)

Step-by-step explanation:

To represent the distance the cheetah covered in terms of time, we need to use the equation Distance = Speed × time. Since the time is given in minutes, we want the speed in miles per minute.

To convert the speed from meters per second to miles per minute, we can use the conversion factor 1 mile = 1609.34 meters and 1 minute = 60 seconds.

Therefore, the correct equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed would be:

Distance = (Speed × t) × (1 mile/1609.34 meters) ÷ (1 minute/60 seconds)