We know that
• The entrance fee is $15.
,• There are charged $1.50 per pound.
The equation to model this situation is
[tex]y=1.50x+15[/tex]For y = 24, let's solve for x.
[tex]\begin{gathered} 24=1.50x+15 \\ 24-15=1.50x \\ x=\frac{9}{1.50} \\ x=6 \end{gathered}[/tex]