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 weeks to dollars cannot be reduced.
Yes, because the ratios of weeks to dollars are equivalent.
No, because the ratios of dollars to weeks are not equivalent.
Yes, because the ratios of dollars to weeks worked are equivalent.
To determine if the pay rates are proportional, we can compare the ratios of dollars earned to weeks worked for each worker. If the ratios are equivalent, then the pay rates are proportional.
For the first worker, the ratio of dollars to weeks is $85 to 2 weeks, which simplifies to $42.50 per week ($85 ÷ 2 = $42.50/week).
For the second worker, the ratio is $175 to 4 weeks, which simplifies to $43.75 per week ($175 ÷ 4 = $43.75/week).
Since the two ratios are not equivalent ($42.50/week ≠ $43.75/week), the pay rates are not proportional.
Therefore, the correct response is:
No, because the ratios of dollars to weeks are not equivalent.