SOLUTION: suppose you have a job mowing lawns that pays $12 per hour. You also have a job at a clothing store that pays $10 per hour. You need to earn at least $350 per week, but you can wor

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Question 1064754: suppose you have a job mowing lawns that pays $12 per hour. You also have a job at a clothing store that pays $10 per hour. You need to earn at least $350 per week, but you can work no more than 35 hours per week. You must work a minimum of 10 hours per week at the clothing store. What is a graph showing how many hours per week you can work at each job?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
suppose you have a job mowing lawns that pays $12 per hour. You also have a job at a clothing store that pays $10 per hour.
You need to earn at least $350 per week, but you can work no more than 35 hours per week. You must work a minimum of
10 hours per week at the clothing store. What is a graph showing how many hours per week you can work at each job?
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If the goal is to make $350 per week, working not more than 35 hours,
then one possible solution is to work 35 hours per week at the clothing store receiving $10 per hour.


All the conditions/requirements will be satisfied.


If the goal is different, then it MUST be formulated in the problem.


Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x, hours mowing lawns
y, hours at clothing store


Taking the description making the three inequalities and simplifying the system gives a system .

If you graph this system, you will find a long narrow region for the solution set.

Just the reference lines without filling in for any inequalities:

The long narrow triangle and its interior is your solution region.
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