He needs to do 10 visits to earn a free ticket.
We know that he gets 30 points just for signing up, and he gets 8.5 points for each visit, then the amount of points as a function of v, the number of visits, is:
P(v) = 30 + 8.5*v
He will get a free movie ticket when he gets 115 points, then we need to solve the linear equation:
P(v) = 115 = 30 + 8.5*v
Solving for v:
v = (115 - 30)/8.5 = 10
He needs to do 10 visits to earn a free ticket.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
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