Question

Alyssa has a points card for a movie theater. She receives 70 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs 245 points for a free movie ticket. How many visits must Alyssa make to earn a free movie ticket?

Answer 1

• First and fixed reward=70

This is our y intercept

• Rate of pay=12.5

This is our slope.

So our equation is

• p=12.5v+70

Here v is visits

• 245=12.5v+70
• 12.5v=175
• v=14visits

Answer 2

let x be the amount of times she visited the movie theater

`70+12.5x=245\\\\12.5x=175\\\\x=14`

Alyssa needs to make 14 visits to earn a free movie ticket.