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.
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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