Question

Zavier has a point card for a movie theatre he receives 85 reward points for signing up he earns 12.5 points for each visit to movie theatre he needs at least 260 points for a free movie ticket right and solve and in quality which can be used to determine V the number of visits Zavier can make to earn his 1st free movie ticket

Answer 1

Let:

V = Number of visits

T = Total points

The total points will be:

`T=85+12.5V`

he needs at least 260 points for a free movie ticket, therefore:

`\begin{gathered} T\ge260 \\ Since\colon \\ T=85+12.5V \\ then\colon_{} \\ 85+12.5V\ge260 \end{gathered}`

Let's solve the inequality:

`\begin{gathered} \text{Subtract 85 from both sides:} \\ 12.5V\ge260-85 \\ 12.5V\ge175 \\ \text{divide both sides by 12.5:} \\ V\ge(175)/(12.5) \\ V\ge14 \end{gathered}`

He needs at least 14 visits