Piper has a points card for a movie theater.
She receives 60 reward points just for signing up.
She earns 13.5 points for each visit to the movie theater.
She needs at least 195 points for a free movie ticket.
Write and solve an inequality that can be used to determine xx, the number of visits Piper can make to earn her first free movie ticket.
Let x be the number of visits Piper can make to earn her first free movie ticket.
Since Piper earns 13.5 points for each visit, the total number of points she will earn from her visits is 13.5x.
She also receives 60 reward points just for signing up.
Therefore, the total number of points she will have is 13.5x + 60.
Since she needs at least 195 points for a free movie ticket, we can write the inequality:
13.5x + 60 ≥ 195.
Now, we can solve this inequality:
13.5x ≥ 195 - 60,
13.5x ≥ 135,
x ≥ 135 / 13.5,
x ≥ 10.
Therefore, Piper can make at least 10 visits to the movie theater to earn her first free movie ticket.