We know that
• He charges a $45 initial fee and $32.50 per hour.
,• He was paid $207.50.
Based on the given information, we have.
[tex]207.50=45+32.50h[/tex]Now, we solve for h (hours).
[tex]\begin{gathered} 207.50-45=32.50h \\ 32.50h=162.50 \\ h=\frac{162.50}{32.50} \\ h=5 \end{gathered}[/tex]