Question
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.
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.
Answers
Answered by
GPT 3.5
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.
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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