One worker earns $85 in 2 weeks, and another earns $175 in 4 weeks. Are the pay rates proportional?(1 point)
Responses
Yes, because the ratios of dollars to weeks worked are equivalent.
Yes, because the ratios of dollars to weeks worked are 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 dollars to weeks are not equivalent.
No, because the ratios of dollars to weeks are not equivalent.
No, because the ratios of weeks to dollars cannot be reduced.
No, because the ratios of weeks to dollars cannot be reduced.
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No, because the ratios of dollars to weeks are not equivalent.
No, because the ratios of dollars to weeks worked are not equivalent. The first worker earns $85 in 2 weeks, which means they earn $42.50 per week. The second worker earns $175 in 4 weeks, which means they earn $43.75 per week. Since the pay rates per week are not the same, the pay rates are not proportional.
To determine if the pay rates are proportional, we need to compare the ratios of dollars to weeks worked for both workers.
First, let's calculate the ratio for the first worker:
$85 / 2 weeks = $42.50 per week
Now, let's calculate the ratio for the second worker:
$175 / 4 weeks = $43.75 per week
Since the two ratios are not equal ($42.50 per week for the first worker and $43.75 per week for the second worker), we can conclude that the pay rates are not proportional. Therefore, the correct answer is:
No, because the ratios of dollars to weeks are not equivalent.