Let vv be the number of visits Jocelyn can make to earn her first free movie ticket.
The total number of points she can earn from visits is 12.5 * vv.
Therefore, the inequality to represent this situation is:
25 + 12.5 * vv ≥ 170
To solve for vv, we need to isolate the variable vv.
First, subtract 25 from both sides of the inequality:
12.5 * vv ≥ 170 - 25
12.5 * vv ≥ 145
Next, divide both sides of the inequality by 12.5:
vv ≥ 145 / 12.5
vv ≥ 11.6
Since the number of visits must be a whole number, the smallest number of visits Jocelyn needs to earn her first free movie ticket is 12 visits.
Jocelyn has a points card for a movie theater.
She receives 25 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 170 points for a free movie ticket.
Write and solve an inequality which can be used to determine vv, the number of visits Jocelyn can make to earn her first free movie ticket.
1 answer
1 answer