Valeria has a points card for a movie theater.
She receives 80 rewards points just for signing up.
She earns 7.5 points for each visit to the movie theater.
She needs 185 points for a free movie ticket.
Write and solve an equation which can be used to determine vv, the number of visits Valeria must make to earn a free movie ticket.
The equation that can be used to determine the number of visits Valeria must make to earn a free movie ticket is:
80 + 7.5vv = 185
Simplifying the equation:
7.5vv = 185 - 80
7.5vv = 105
Dividing both sides of the equation by 7.5:
vv = 105 / 7.5
vv = 14
So, Valeria must make 14 visits to the movie theater to earn a free movie ticket.