Question

Lincoln has a points card for a movie theater. He receives 30 rewards points just for signing up. He earns 4.5 points for each visit to the movie theater. He needs at least 225 points for a free movie. Which inequality can be used to determine v, the minimum number of visits Lincoln needs to earn his first free movie ticket?

Answer 1

30 + 4.5v ≥ 225

Explanation:

Let v = number of visits

30 + 4.5v ≥ 225

⇒ 4.5v ≥ 195

⇒ x ≥ 43 1/3

So Lincoln needs to visit a minimum of 44 times to earn his first free movie ticket.