Question

Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot work more than 32 hours in a week, but he wishes to earn at least $251 each week. Which work schedule is within Michael’s constraints?

Answer 1

if he works 32 hrs at the movie theater = $288 > $251

Answer 2

The answer is choice C (19 hours at the movie theater and 12 hours at the bakery).

Explanation:

The question didn't list the multiple choice answers given. Both of the choices A and B equal to too many hours worked. (A would be 33 hours, B would equal 35 hours, question states cannot work more than 32 hours a week)

Let m stand for Movie theater hours, b for bakery hours worked.

Equation would be: 9m + 7b ≥ 251

9(19) + 7(12) ≥ 251

171 + 84 = 255; which is ≥ 251