Piper has a points card for a movie theater.
She receives 60 rewards 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 which can be used to determine xx, the number of visits Piper can make to earn her first free movie ticket.
The inequality can be written as:
60 + 13.5x ≥ 195
To solve for x, we first subtract 60 from both sides:
13.5x ≥ 195 - 60
Simplifying,
13.5x ≥ 135
Finally, divide both sides by 13.5:
x ≥ 135 / 13.5
x ≥ 10
Therefore, Piper needs to make at least 10 visits to the movie theater to earn her first free movie ticket.