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[tex]\text{The constant of variation is a fancy word for rate of change}\\\\\text{You're trying to find the rate of change in this scenario, which would}\\\text{be your constant of varaition}\\\\\text{To find this, we need to know how much he makes each hour}\\\\\text{Find this by dividing 175 by 15:}\\\\175\div15= 11.666\\\\\text{Round to the nearest hundredths}\\\\11.67\\\\\boxed{\text{Constant of variation: 11.67}}[/tex]

Based on the information given the constant of variation is 11.67.

Using this formula

Constant of variation=Amount earned/Time

Where:

Amount earned=$175

Time=15 hours

Let plug in the formula

Constant of variation=$175/15

Constant of variation=11.66

Constant of variation=11.67 (Approximately)

Inconclusion  the constant of variation is 11.67.

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