Question

Use the image to answer the question.

Quadrant one of a coordinate plane shows the x axis labeled hours worked and the y axis labeled amount earned.
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A grocery store employee earns $15 an hour. He earns $20 an hour for each hour over 40 that he works in the week. How many hours would he need to work to make $700 for the week?

(1 point)

85 hours

47 hours

45 hours

35 hours

Answer 1

For the first 40 hours he makes 40·$15 = $600. For hours beyond 40 he makes $20 per hour, so for h > 40 total pay is 600 + 20(h − 40). Set that equal to 700:

600 + 20(h − 40) = 700 → 20(h − 40) = 100 → h − 40 = 5 → h = 45.

Answer: 45 hours.