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

Answer 1

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.