Question

jordan has a points card for a movie theater.

• he receives 65 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
• he needs at least 185 points for a free movie ticket.

which inequality can be used to determine v, the minimum number of visits jordan needs to earn his first free movie ticket?
answer
65 + 10.5v ≤ 185 185 ≤ 10.5 + 65v
65 + 10.5v ≥ 185 185 ≥ 10.5 + 65v

Explanation:

Step1: Analyze total points

Jordan gets 65 points on sign - up and 10.5 points per visit (\(v\) visits). So total points are \(65 + 10.5v\).

Step2: Relate to ticket requirement

He needs at least 185 points (i.e., total points \(\geq\) 185). So the inequality is \(65+10.5v\geq185\).

Answer:

\(65 + 10.5v\geq185\)