To find: numbers of hours of work would your net earnings from either job be the same.
Answer to Problem 31PPE
13 hours
Explanation of Solution
Given information: there are two jobs first is that who pays you $9 per hour and second pays you $12 per hour but you have to buy a uniform of $39.
Let
And let
The first job pays you $9 per hour and no uniform you have to buy.
Then your total earning in working
Now, the second job pays you $12 per hour and a uniform you have to buy that cost $39.
Then your total earning in working
The two equations are as follows-
Solving above equations
Hence, after 13 hours of work net earnings from either job will be same.
And their graphs are given by-
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