Hi i'm having trouble with a question. it states During the Summer you take 2 part time jobs. The first job pays $5 per hour. The 2nd Job pays $8 per hour. You want to earn at least $150 a week and work 25 hours or less a week.

Question

Write a system of inequalities that model the hours you can work at each Job.

Answer 1

with x = hours at first job
and y = hours at the second job

y <= 25 - x
which is the amount of hours you can work
at the same time,

y >= (150/8)- (5/8)x
is the amount of money you want to make

if you graph both of these equations, you can find the range you should use.