Question

a sprinter can run 240 feet in 8 seconds. find the sprinters unit rate of feet per second. \\(\frac{30\text{ feet}}{1\text{ second}}\\) \\(30:1\\) \\(\frac{30\text{ seconds}}{1\text{ foot}}\\) \\(\frac{240\text{ feet}}{8\text{ seconds}}\\)

Explanation:

Step1: Define unit rate goal

We need feet per second, so calculate $\frac{\text{total feet}}{\text{total seconds}}$.

Step2: Plug in given values

Substitute 240 feet and 8 seconds:
$\frac{240}{8} = 30$

Step3: Match to correct format

The unit rate is $\frac{30 \text{ feet}}{1 \text{ second}}$, which matches the first option.

Answer:

A. $\frac{30 \text{ feet}}{1 \text{ second}}$