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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

4. A worker has a retail job and a restaurant job. The worker earns $17 perhour at-example-1

1 Answer

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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.

Step-by-step 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}

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