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.
