The inequality that can be used to determine the number of visits Liam can make to earn his first free movie ticket is:
50 + 12.5x ≥ 160
where x is the number of visits.
To solve the inequality, we can start by subtracting 50 from both sides:
12.5x ≥ 160 - 50
Simplifying,
12.5x ≥ 110
To isolate x, we divide both sides by 12.5:
x ≥ 110 / 12.5
x ≥ 8.8
Since Liam cannot make a fraction of a visit, we round up to the nearest whole number. Therefore, Liam needs to make at least 9 visits to earn his first free movie ticket.
Liam has a points card for a movie theater.
He receives 50 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.
Write and solve an inequality which can be used to determine
x, the number of visits Liam can make to earn his first free movie ticket.
1 answer