The given equation is:
[tex]B(x)=40.00-0.10x[/tex]Since the number of prints bought is 15, it follows that x=15.
Substitute this into the equation given:
[tex]\begin{gathered} B(x)=40.00-0.10(15) \\ B(x)=40.00-1.50=38.5 \end{gathered}[/tex]Hence, the remaining balance on the card is $38.5.