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
![y=10+2x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/andhre2ua6lgguci9exriz03ju6neszclj.png)
Put x=6 to find the cost of 6 movies.
![y=10+2(6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/t4nn5h2t9qkftdunyg31f0n9fggmdhmqh1.png)
![y=10+12](https://img.qammunity.org/2021/formulas/mathematics/high-school/b7c1qnfazkt0rvlk5yzfrrz72axclhgums.png)
![y=22](https://img.qammunity.org/2021/formulas/mathematics/high-school/zv784pght3jjvtet7nprse7fp7dg20sqbn.png)
Therefore, the total cost for a new customer to rent 6 movies is $22.