Question

Michael has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 8.5 points for each visit to the movie theater. He needs at least 165 points for a free movie ticket. What is the least number of visits he needs to make in order to earn a free movie ticket?

Answer 1

A

tyler has a points card for a movie theater.

he receives 75 rewards points just for signing up.

• he earns 10.5 points for each visit to the movie theater.

he needs 180 points for a free movie ticket.

.

a

how many visits must tyler make to earn a free movie ticket?

Explanation:

Answer 2

The true least number of visits is the lowest whole number above 11.176470..., which is 12.

Explanation:

points per visit, # of visits + sign-up points ≥ free tickets points

8.5 (points per visit)

70 (# of visits)

165 (free ticket points)

8.5v ≥ 70 + 165

70 + 8.5v ≥ 165

8.5v ≥ 165 -70

8.5v/8.5v ≥ 95/8.5

v ≥ 11.1764705882

The true least number of visits is the lowest whole number above 11.176470..., which is 12.