SOLUTION: The amount of money you receive on your paycheck varies directly with the numbers of hours you work in one week. Last week you made $180 when you worked 20 hours. This week, you wo

Question 224835: The amount of money you receive on your paycheck varies directly with the numbers of hours you work in one week. Last week you made $180 when you worked 20 hours. This week, you worked an extra 5 hours. How much money will you receive on your paycheck?
Answer by LtAurora(115) (Show Source): You can put this solution on YOUR website!
So, let's call the amount of money and the number of hours .
Since it varies directly, the equation we need to set-up is:
, where is our constant of variation.
First we take the known information to solve for our .
So, and .

Divide both sides by 20:
.
The next bit of information we have says an extra 5 hours were worked, so the total hours worked for this week are: .
We need to solve for and we now know both and .
So, plugging this in we get:

So, the next paycheck will be $225.
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