Astudent with two summer jobs earns $10 per hour at a café and $8 per hour at a market. the student would like to earn at least $800 per month.

a. write and graph an inequality to represent the situation. include clear labels on the graph.

b. the student works at the market for 60 hours per month and can work at most 90 hours per month. can the student earn at least $800 each month? explain how you can use your graph to determine this.

A.) View Image

B.) Not possible. If you look at the graph,the student must work at the cafe at least 80 hours and at the the market for at least 100 hours to earn the minimum $800 they wanted.

60 hours is below the minimum required time of both place. 90 hours can only satisfy the minimum work hour of one of the place, they need to satisfy the minimum of both places.

In other word, they must work at least 180 hours to earn the $800+ they wanted

Step-by-step explanation:

Set up your equation.

let c be hour worked at cafe and m be hours worked at market.

solve for any of the variable. I solved for c because it looked easier. solving for m will give you the same graph as well.

Graph your equation like usual. Since it's a ≥ sign then you must shade above the line. The shaded part represents the hours that the student can work at both place to earn at least $800