Question

How am I supposed to solve and graph this?

"Linda works at a pharmacy for $15 an hour. She also babysits for $10 an hour. Linda needs to earn at least $90 per week, but she does not want to work more than 20 hours per week. Show and describe the number of hours Linda could work at each job to meet her goals. List two possible solutions."

Answer 1

15p + 10b >= 90
p+b <= 20

6 hrs at pharmacy = $90
9 hrs babysitting = $90
2 hrs at pharmacy = 3 hrs babysitting
so, I think you can probably come up with other solutions.

Answer 2

How am I supposed to graph it?

Answer 3

just graph the two lines as equations.
Then, shade the region above the first, and below the 2nd.

To check your answer, click here:

http://www.wolframalpha.com/input/?i=solve+15p+%2B+10b+%3E%3D+90%2C+p%2Bb+%3C%3D+20