Let's begin by identifying key information given to us:
The boat = $7 per hour
Discount = $9
Amount to spend < $54
t = the number of hours
We will calculate thus:
[tex]\begin{gathered} 7t-9<54 \\ \text{Add ''9'' to both sides, we have:} \\ 7t-9+9<54+9 \\ 7t<63 \\ \text{Divide both sides by ''7''. We have:} \\ \frac{7t}{7}<\frac{63}{7} \\ t<9hours \end{gathered}[/tex]Katy can rent the boat for between 1 to 8 hours