Question

Are these ratios equivalent? 99 questions every 36 hours 32 questions every 8 hours

Answer 1

To determine if the two ratios are equivalent, we can simplify both ratios and compare them.

1. **For the first ratio**: 99 questions every 36 hours.
\[
\text{Rate}_1 = \frac{99 \text{ questions}}{36 \text{ hours}} = \frac{99}{36} \approx 2.75 \text{ questions per hour}
\]

2. **For the second ratio**: 32 questions every 8 hours.
\[
\text{Rate}_2 = \frac{32 \text{ questions}}{8 \text{ hours}} = \frac{32}{8} = 4 \text{ questions per hour}
\]

Now we compare the two rates:
- Rate from the first ratio: \( \approx 2.75 \) questions per hour
- Rate from the second ratio: \( 4 \) questions per hour

Since \( 2.75 \neq 4 \), the two ratios are not equivalent.