Claire 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 9 total hours and must earn a minimum of $90. If xx represents the number of hours washing cars and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Question

15-04-2021
Mathematics

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Claire 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 9 total hours and must earn a minimum of $90. If xx represents the number of hours washing cars and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

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francocanacari francocanacari · Answer 1 · 2021-11-09T13:00:19+01:00

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.

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