Answer: See explanation
Step-by-step explanation:
Since Jack receives 55 rewards points just for signing up and earns 12.5 points for each visit to the movie theater and needs at least 205 points for a free movie ticket.
The inequality which can be used to determine v, the number of visits Jack can make to earn his first free movie ticket will be:
55 + 12.5v ≥ 205
12.5v ≥ 205 - 55
12.5v ≥ 150
v ≥ 150/12.5
v ≥ 12
The number of visits that Jack can make to earn his first free movie ticket will be at least 12 visits
