Question 224835
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*20}}}
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+5=25}}}.
We need to solve for {{{M}}} and we now know both {{{k}}} and {{{H}}}.
So, plugging this in we get:
{{{M=9*25}}}
{{{M=225}}}
So, the next paycheck will be $225.