Question

Jonathan has a points card for a movie theater. He receives 25 rewards points just for signing up. He earns 13.5 points for each visit to the movie theater. He needs at least 135 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

9

Explanation:

You want to know the least number of visits Jonathan must make to a movie theater to have at least 135 points if he has 25 points and earns 13.5 for each visit.

Points

After x visits to the theater, Jonathan will have earned 13.5x points in addition to the signing bonus. His total will be ...

13.5x +25

Visits

Jonathan wants that total to be at least 135:

13.5x +25 ≥ 135

13.5x ≥ 110 . . . . . . . subtract 25

x ≥ 110/13.5 ≈ 8.148

The smallest integer greater than 8.148 is 9.

Jonathan needs to make at least 9 visits to earn a free movie ticket.

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