SOLUTION: The amount of money that Pablo makes in a given week varies directly as the number of hours he works that week. In a week in which he works 38 hours, he makes $589. How much will b

SOLUTION: The amount of money that Pablo makes in a given week varies directly as the number of hours he works that week. In a week in which he works 38 hours, he makes $589. How much will b

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Question 250216: The amount of money that Pablo makes in a given week varies directly as the number of hours he works that week. In a week in which he works 38 hours, he makes $589. How much will be make in a week in which he works 46 hours?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the weekly paycheck. Let

represent the number of hours worked. Let

represent the constant of proportionality, or in the limited context of this problem, Pablo's hourly rate of pay. Therefore, in the completely general case of working

time units at a rate of

monetary units per time unit worked, excluding consideration of overtime bonuses or deduction of taxes, etc., the value of a paycheck is given by:

But we know that in Pablo's case,

dollars when

hours, so:

dollars per hour.

So, in Pablo's general case:

And in the specific case of working 46 hours:

You can do the arithmetic.

John

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