Question

write the statement as a rate. it took jenny 37 minutes to bike 5 miles. choose the correct answer below. a. \\(\frac{5}{37}\frac{\text{miles}}{\text{miles}}\\) b. \\(\frac{37}{5}\frac{\text{miles}}{\text{minutes}}\\) c. \\(\frac{37}{5}\frac{\text{miles}}{\text{miles}}\\) d. \\(\frac{37}{5}\frac{\text{minutes}}{\text{miles}}\\) e. \\(\frac{5}{37}\frac{\text{minutes}}{\text{miles}}\\) f. \\(\frac{5}{37}\frac{\text{minutes}}{\text{minutes}}\\)

Explanation:

Step1: Define rate structure

A rate compares two different quantities, here distance and time. We can express it as either distance per time or time per distance.

Step2: Match to valid options

The given values are 5 miles (distance) and 37 minutes (time). A valid rate is $\frac{5 \text{ miles}}{37 \text{ minutes}}$ (distance per time) or $\frac{37 \text{ minutes}}{5 \text{ miles}}$ (time per distance). Checking options, $\frac{37 \text{ minutes}}{5 \text{ miles}}$ is option D.

Answer:

D. $\frac{37 \text{ minutes}}{5 \text{ miles}}$