Question
One worker earns $85 in 2 weeks in another urns $175 into 4 weeks are the pay rates proportional A no because the ratio weeks up to dollars cannot be reduced B no because of ratio of dollars to weeks are not equivalent C Yes because the ratio of dollars to weeks worked are equivalent D Yes because a ratio of weeks to dollars are equivalent
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Answered by
GPT-4o mini
To determine whether the pay rates of the two workers are proportional, we need to calculate their rates in terms of dollars per week.
**Worker 1:**
- Earns $85 in 2 weeks.
- Rate = \( \frac{85}{2} = 42.5 \) dollars per week.
**Worker 2:**
- Earns $175 in 4 weeks.
- Rate = \( \frac{175}{4} = 43.75 \) dollars per week.
Now we compare the two rates:
- Worker 1: $42.50 per week
- Worker 2: $43.75 per week
Since these rates are not equal, the pay rates are not proportional.
Thus, the best answer is **B**: No, because the ratio of dollars to weeks are not equivalent.
**Worker 1:**
- Earns $85 in 2 weeks.
- Rate = \( \frac{85}{2} = 42.5 \) dollars per week.
**Worker 2:**
- Earns $175 in 4 weeks.
- Rate = \( \frac{175}{4} = 43.75 \) dollars per week.
Now we compare the two rates:
- Worker 1: $42.50 per week
- Worker 2: $43.75 per week
Since these rates are not equal, the pay rates are not proportional.
Thus, the best answer is **B**: No, because the ratio of dollars to weeks are not equivalent.
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