Chapter 6, Problem 57SGR

To determine

To graph: Two inequalities that will help in determining how many hours the person K needs to work at each job if she wants to earn at least $150 per week.

Explanation of Solution

Given:

The person K earns $9 per hour working at the grocery store and $12 per hour on delivery. She cannot work more than 20 hours per week.

Graph:

Let she works x hour on grocery store and y hour on delivery.

Then, the system of equations becomes:

  $\begin{array}{l}x+y\le 20\\ 9x+12y\ge 150\end{array}$

The solution region for the inequalities are shown below:

  

The above graph will help her to determine how many hour she needs to work at each job to earn at least $150 per week.