Answer
x=$46.00 per hour
Work Step by Step
Consider the left side to be the amount of money Dominique wants to make. She wants to make 100 dollars; however, she has already spent 15 dollars. So, she must actually make 100 + 15. Consider x to be the per hour rate she will make. She only has 2.5 hours to make that rate in order to make the 115 dollars:
$100+15=2.5x$
Combine like terms. Then, continue on by dividing each side by 2.5 in order to arrive at the solution:
$115=2.5x$
$115/2.5=2.5x/2.5$
$x=46$