Question

Blake has a points card for a movie theater. He receives 35 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 196 points for a free movie ticket. How many visits must Blake make to earn a free movie ticket?

Answer 1

A

tyler has a points card for a movie theater.

he receives 75 rewards points just for signing up.

• he earns 10.5 points for each visit to the movie theater.

he needs 180 points for a free movie ticket.

.

a

how many visits must tyler make to earn a free movie ticket?

Explanation:

Answer 2

14 visits

Explanation:

The total number of points on Blake's card will be the sum of the initial number and the number earned for visits. The number earned for visits is the product of the number of visits and the the points earned per visit.

__

setup

The number of points on Blake's card will be ...

p = 35 +11.5x . . . . . when Blake makes x visits to the theater

We want to find x when p=196, so we have ...

196 = 35 +11.5x

solution

This 2-step equation is solved in the usual way.

161 = 11.5x . . . . step 1, isolate the variable term by subtracting the constant

14 = x . . . . . . . . step 2, divide by the variable coefficient

Blake must make 14 visits to earn a free movie ticket.