Question

Brendan is a college student who works two part-time jobs. As a teaching assistant, he earns $18 per hour. As a dishwasher at a local restaurant, he earns $12 per hour. Because of classes, he can only work a maximum of 15 hours per week. Brendan needs to earn at least $520 per week to cover his expenses. Assess the system of equations.

Answer 1

To assess the system of equations, we need to set up the equations based on Brendan's situation. The primary topic of this question is solving systems of equations.

Step-by-step explanation:

To assess the system of equations, we need to set up the equations based on Brendan's situation. Let's assume x represents the number of hours Brendan works as a teaching assistant and y represents the number of hours he works as a dishwasher.

We can then set up the equations:

18x + 12y ≥ 520 (equation 1, to cover his expenses)

x + y ≤ 15 (equation 2, because he can only work a maximum of 15 hours per week)

These two equations represent Brendan's earning potential and work hours. By solving these equations, we can determine the feasible solutions for Brendan.

The primary topic of this question is solving systems of equations.