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.

1 answer

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.
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