Question

Jamar has a points card for a movie theater.

He receives 20 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 95 points for a free movie ticket.

Write and solve an inequality which can be used to determine vv, the number of visits Jamar can make to earn his first free movie ticket.

Answer 1

He needs to make at least 6 visits.

Explanation:

The signing up amount, 20, is a fixed amount.

The amount he receives per movie is 12.5 times the number of visits, v, or 12.5v.

The total amount of points he earns is the sum of the fixed amount and the amount due to the number of visits.

earned points = 12.5v + 20

He must earn 95 points or more.

12.5v + 20 ≥ 95

Subtract 20 from both sides.

12.5v ≥ 75

Divide both sides by 12.5

v ≥ 6

He needs to make at least 6 visits.