A sprinter can run 240 feet in 8 seconds. Find the sprinter's unit rate of feet per second.

A. 30:1
B. [tex]\frac{30 \text { feet }}{1 \text { second }}[/tex]
C. [tex]\frac{30 \text { seconds }}{1 \text { foot }}[/tex]
D. [tex]\frac{240 \text { feet }}{8 \text { seconds }}[/tex]



Answer :

To find the sprinter's unit rate of feet per second, we'll follow these steps:

1. Identify the total distance: The sprinter runs 240 feet.
2. Identify the total time: The sprinter takes 8 seconds to run this distance.
3. Calculate the unit rate in feet per second:

Unit Rate = Total Distance / Total Time

Substituting the given values:

Unit Rate = 240 feet / 8 seconds

Simplifying the division:

Unit Rate = 30 feet per second

Therefore, the sprinter's unit rate is [tex]\(\frac{30 \text { feet }}{1 \text { second }}\)[/tex]. This means for every second, the sprinter covers a distance of 30 feet. The correct answer is:

[tex]\(\frac{30 \text { feet }}{1 \text { second }}\)[/tex].