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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
So, let's call the amount of money M and the number of hours H.
Since it varies directly, the equation we need to set-up is:
M=kH, where k is our constant of variation.
First we take the known information to solve for our k.
So, M=180 and H=20.
180=k%2A20
Divide both sides by 20:
k=9.
The next bit of information we have says an extra 5 hours were worked, so the total hours worked for this week are: 20%2B5=25.
We need to solve for M and we now know both k and H.
So, plugging this in we get:
M=9%2A25
M=225
So, the next paycheck will be $225.