Valeria has a points card for a movie theater.

She receives 35 rewards points just for signing up.
She earns 11.5 points for each visit to the movie theater.
She needs at least 55 points for a free movie ticket.

Which inequality can be used to determine
v, the minimum number of visits Valeria needs to earn her first free movie ticket?

35 + 11.5v ≥ 55

To determine the minimum number of visits Valeria needs to earn her first free movie ticket, we can set up an inequality.

Let v be the number of visits Valeria needs to earn her first free movie ticket.

The total number of points she earns is given by:
35 (points for signing up) + 11.5v (points for each visit)

Since she needs at least 55 points for a free movie ticket, the inequality can be written as:

35 + 11.5v ≥ 55

So, the inequality that can be used to determine v is:

35 + 11.5v ≥ 55