Ethan has a points card for a movie theater.He receives 55 rewards points just for signing up.He earns 12.5 points for each visit to the movie theater.He needs at least 150 points for a free movie ticket.Write and solve an inequality which can be used to determine xx, the number of visits Ethan can make to earn his first free movie ticket.Answer Attempt 1 out of 3 Inequality: xx
3 answers
12.5x + 55 ≥ 150
X equals what?
To find the value of x, we solve the inequality:
12.5x + 55 ≥ 150
Subtract 55 from both sides:
12.5x ≥ 150 - 55
12.5x ≥ 95
Divide both sides by 12.5:
x ≥ 95/12.5
x ≥ 7.6
Therefore, Ethan must make at least 8 visits to the movie theater to earn his first free movie ticket.
12.5x + 55 ≥ 150
Subtract 55 from both sides:
12.5x ≥ 150 - 55
12.5x ≥ 95
Divide both sides by 12.5:
x ≥ 95/12.5
x ≥ 7.6
Therefore, Ethan must make at least 8 visits to the movie theater to earn his first free movie ticket.