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Last week, before taxes, you earned $539 after working 26 hours at your regular hourly rate and 6 hours at time-and-a- half. Create a linear function from this word problem.

Question

Last week, before taxes, you earned $539 after working 26 hours at your regular hourly rate and 6 hours at time-and-a- half. Create a linear function from this word problem.

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Solution

Let's denote the regular hourly rate as x.

The earnings from the regular hourly rate for 26 hours would be 26x.

The earnings from the 6 hours of overtime (time-and-a-half) would be 6*(1.5x) = 9x.

The total earnings before taxes is the sum of the regular earnings and the overtime earnings, which is $539.

So, the linear function that represents this situation is:

26x + 9x = $539

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