Given :
The length of hair after cut = 3.25 inches
The length of hair before cut = 5.5 inches
Harold's rate of hair growth is 0.5 inch per month
Let m is the number of months between the haircuts
so, the equation used to find m will be :
[tex]0.5\cdot m=5.5-3.25[/tex]Solve for m :
[tex]\begin{gathered} 0.5m=2.25 \\ \\ m=\frac{2.25}{0.5}=4.5 \end{gathered}[/tex]So, the number of months between the haircuts = 4.5