For a new customer, a video store charges $10 for a rental card plus $2 per movie. Using the linear equation (y=mx+b) you wrote, find the cost for a new customer to rent 6 movies.

Given:

Charges for rental card = $10

Charges for movie = $2 per movie

To find:

The linear equation for given situation and find the cost to rent 6 movies.

Solution:

Let y be the total cost for x number of movies.

Cost of one movie = $2

Cost of x movies = $2x

Total cost = Charges for rental card + Charges for x movies

Put x=6 to find the cost of 6 movies.

Therefore, the total cost for a new customer to rent 6 movies is $22.