Question

4. A worker has a retail job and a restaurant job. The worker earns $17 perhour at the retail job and per hour at the restaurant job. He is limited tomaking at most $550 at the restaurant each week. What is a system ofinequalities that will represent the hours he can work at each job and makeat least $575 per week?17x+22y2575;22y < 550None of the answers17x+22y 2575;22y 255017x+22y>575;22y<55017x+22y2575;22y<550

Answer 1

Given:

A worker has a retail job and a restaurant job. The worker earns $17 per

hour at the retail job and $22 per hour at the restaurant job. He is limited to

making at most $550 at the restaurant each week.

Required:

We need to find the inequality system for hours he can work at each job and make at least $575 per week.

Explanation:

Take x is as retail job hours and y as restaurant job hours

now for at most $550 at restaurant and $22 per hor

$22y\leq550$

and for at least total earning $575 per week is

$17x+22y\ge575$

Final answer:

$\begin{gathered} 22y\leq550 \\ 17x+22y\ge575 \end{gathered}$