Question

Charlotte is working two summer jobs, making $7 per hour washing cars and making $15 per hour clearing tables. In a given week, she can work at most 16 total hours and must earn a minimum of $150. If x represents the number of hours washing cars and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

Answer:

Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:

15 x 9 = 135

135 - 90 = 45

45/7 = 6.42

6 x 7 + 3 x 15 = 42 + 45 = 87

5 x 7 + 4 x 15 = 35 + 60 = 95

Therefore, at a minimum, Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.