Question

Jacob is working two summer jobs, making $11 per hour babysitting and making $24

per hour tutoring. In a given week, he can work at most 8 total hours and must earn a
minimum of $120. If x represents the number of hours babysitting and y represents
the number of hours tutoring, write and solve a system of inequalities graphically and
determine che possible solution.

Answer 1

• See below

Explanation:

Let x be the number of hours of babysitting and y the number of hours of tutoring.

The inequalities:

• x + y ≤ 8
• 11x + 24y ≥ 120

See the graph attached

Some possible solutions are given on the graph.