Question

Carmen ran 2 laps around the track in 6 minutes. What are the unit rates in laps per minute and minutes per lap?
A.
3 laps per minute and of a minute per lap
B.
3 laps per minute and 3 minutes per lap
C.
of a lap per minute and 3 minutes per lap
D.
of a lap per minute and of a minute per lap

Answer 1

To find the unit rates in laps per minute and minutes per lap, let's break down Carmen's running:

1. **Laps per minute:**
Carmen ran 2 laps in 6 minutes.

To find laps per minute:
\[
\text{Laps per minute} = \frac{\text{Number of laps}}{\text{Time in minutes}} = \frac{2 \text{ laps}}{6 \text{ minutes}} = \frac{1}{3} \text{ laps per minute}
\]

2. **Minutes per lap:**
To find minutes per lap:
\[
\text{Minutes per lap} = \frac{\text{Time in minutes}}{\text{Number of laps}} = \frac{6 \text{ minutes}}{2 \text{ laps}} = 3 \text{ minutes per lap}
\]

Now we summarize our findings:
- **Laps per minute:** \( \frac{1}{3} \) laps per minute
- **Minutes per lap:** 3 minutes per lap

So the correct answer is C: \( \frac{1}{3} \) of a lap per minute and 3 minutes per lap.