Question

Brendan is a college student who works two part-time jobs. As a teacher's assistant, he earns $12 per hour. As a dishwasher at a local restaurant, he earns $10 per hour. Because of his class schedule, he must work less than 15 hours per week. Brendan needs to earn more than $150 per week to cover his expenses. Create a linear system that represents his situation. To receive full credit, you must define the variables and create the system. There is no need to solve/graph the system.

Answer 1

Step-by-step explanation:

Let x be the number of hours Brendan work as a teacher's assistant.

Let y be the number of hours Brendan work as a dishwasher at the local restaurant.

Since he works less than 15 hours per week,

We have x + y < 15.

Since he earns more than $150 per week,

We have 12x + 10y > 150.

Therefore our system of equations are

x + y < 15, 12x + 10y > 150, x >= 0 and y >= 0.