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.
Yes, because the ratios of dollars to weeks worked are equivalent.
Yes, because the ratios of dollars to weeks worked are equivalent.
No, because the ratios of weeks to dollars cannot be reduced.
No, because the ratios of dollars to weeks are not equivalent.
No, because the ratios of dollars to weeks are not equivalent.
The question is asking whether the pay rates of the two workers are proportional. To determine this, we need to compare the ratios of dollars to weeks worked for each worker.
Worker 1 earns $85 in 2 weeks, so the ratio of dollars to weeks for Worker 1 is 85/2.
Worker 2 earns $175 in 4 weeks, so the ratio of dollars to weeks for Worker 2 is 175/4.
To check if the ratios are equivalent, we can simplify them:
Worker 1: 85/2 = 42.5/1
Worker 2: 175/4 = 43.75/1
Since the simplified ratios are not exactly the same, the pay rates of the two workers are not proportional.
Therefore, the correct response is: No, because the ratios of dollars to weeks are not equivalent.