Carolina is mowing lawns for a summer job. for every mowing job, she charges an initial fee plus $6 for each hour of work. her total fee for a 4-hour job, for instance, is $ 32.

Well first the initial fee would be the x, which is what we have to solve for. Each hour of work is $6, and she does four hours of work. This is equal to $32. The equation would look as follows...

x + 6(4) = 32

Once you have the equation start solving. Use the Pemdas method. First you have to multiply, so now the equation looks as follows...

x + 24 = 32

Now you have to get the x by itself. You do that by subtracting 24 from both sides, because what you do to one side, you do to the other. That will get you to the answer of...

x = 8

In conclusion, Carolina has an initial fee of $8.

Hope this helped.

We need the pictures of the graphs