Let:
V = Number of visits
T = Total points
The total points will be:
[tex]T=85+12.5V[/tex]he needs at least 260 points for a free movie ticket, therefore:
[tex]\begin{gathered} T\ge260 \\ Since\colon \\ T=85+12.5V \\ then\colon_{} \\ 85+12.5V\ge260 \end{gathered}[/tex]Let's solve the inequality:
[tex]\begin{gathered} \text{Subtract 85 from both sides:} \\ 12.5V\ge260-85 \\ 12.5V\ge175 \\ \text{divide both sides by 12.5:} \\ V\ge\frac{175}{12.5} \\ V\ge14 \end{gathered}[/tex]He needs at least 14 visits
