Question

Question 2 - Minimum Hours f. In the previous question, if Leah babysits for 7 hours this month, what is the minimum number of hours she would have to work at the ice cream shop to earn at least $120? Justify your answer. (4 POINTS) Give your answer to the nearest whole hour.

Answer 1

Leah earns 5x + 8y dollars, after x hours babysitting and y hours at the ice cream shop.

She wants to earn at least $120, then:

5x + 8y ≥ 120

Given that Leah babysits for 7 hours, then:

5(7) + 8y ≥ 120

35 + 8y ≥ 120

8y ≥ 120 - 35

8y ≥ 85

y ≥ 85/8

y ≥ 10.625

She must work at least 11 hours

Given that 7 + 11 = 18, then she would not work more than 20 hours as she expected