SOLUTION: Restricted hours: Alana makes $5.80 per hour working in the library. To keep her job, she must make at least $116 per week; but to keep her scholarship, she must not earn more than

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Question 351155: Restricted hours: Alana makes $5.80 per hour working in the library. To keep her job, she must make at least $116 per week; but to keep her scholarship, she must not earn more than $145 per week. What is the range of the number of hours per week that she may work?
Need help to set up the equation. I have trouble with certain word problems and can't seem to figure how to set this up.
Thanks for helping.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Restricted hours: Alana makes $5.80 per hour working in the library. To keep her job, she must make at least $116 per week; but to keep her scholarship, she must not earn more than $145 per week. What is the range of the number of hours per week that she may work?
.
Think in terms of "hours" Alana can work.
.
Minimum:
116/5.80 = 20 hours
.
Maximum:
145/5.80 = 25 hours
.
So, if x is number of hours Alana can work then
20 <= x <= 25
where <= is "less than or equal"