Question

One worker earns $85 in 2 weeks, and another earns $175 in 4 weeks. Are the pay rates proportional?(1 point)
Responses

No, because the ratios of dollars to weeks are not equivalent.
No, because the ratios of dollars to weeks are not equivalent.

Yes, because the ratios of weeks to dollars are equivalent.
Yes, because the ratios of weeks to dollars are equivalent.

No, because the ratios of weeks to dollars cannot be reduced.
No, because the ratios of weeks to dollars cannot be reduced.

Yes, because the ratios of dollars to weeks worked are equivalent.
Yes, because the ratios of dollars to weeks worked are equivalent.
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Answer 1

To determine if the pay rates are proportional, we need to calculate the pay rate (dollars earned per week) for each worker.

**Worker 1:**
Earns $85 in 2 weeks, so the pay rate is:
\[
\text{Pay rate} = \frac{85 \text{ dollars}}{2 \text{ weeks}} = 42.5 \text{ dollars per week}
\]

**Worker 2:**
Earns $175 in 4 weeks, so the pay rate is:
\[
\text{Pay rate} = \frac{175 \text{ dollars}}{4 \text{ weeks}} = 43.75 \text{ dollars per week}
\]

Now we compare the pay rates:
- Worker 1: $42.5 per week
- Worker 2: $43.75 per week

Since $42.5 is not equal to $43.75, the pay rates are not proportional.

Therefore, the correct response is:
**No, because the ratios of dollars to weeks are not equivalent.**