A student with two summer jobs earns $10 per hour at a cafe 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.

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.

Question

A student with two summer jobs earns $10 per hour at a cafe 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.

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.

anonymous · Answer

so u have no idea/hint on how to solve it?

anonymous · Answer

i'll give u time to think about it first.
for part a, it will be along the lines of 10x + 8y = 800
that is ur hint, but that's not the equation u need to change something.

anonymous · Answer

so the equation would be 10x + 8y => 800 and we would substitute the variables x and y with the number of hours the student can work, the the equation would become (10)(30) + (8)(60) => 800, which turns into 300 + 480 => 800, which becomes 780 => 800, which isn't true.  so the student would not be able to earn $800 per month.  What I'm confused about is how to use a graph to determine if he can earn $800 per month.