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].