Alonso has a points card for a movie theater.

He receives 40 reward points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 185 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits Alonso can make to earn his first free movie ticket.

1 answer

The inequality to represent the situation is:

40 + 12.5x ≥ 185

Simplifying the inequality:

12.5x ≥ 185 - 40

12.5x ≥ 145

Finally, solving for x:

x ≥ 145/12.5

x ≥ 11.6

Therefore, Alonso needs to make at least 12 visits to the movie theater to earn his first free movie ticket.
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