document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #167923 by LtAurora(115) $\"\"$ $\"About$

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

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