Question

A video game store allows customers to rent games for $4.75 each. Customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have rent in a year in order for the two options to be equal?

Answer 1

If you didn't buy the membership, then the equation would be 4.75x. If you did buy the membership, the function would be 2.5x+54. If you wanted the costs for either, then renting 24 games would serve.

Answer 2

24 video games

Explanation:

Let x represent number of video games.

We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be
`4.75x`.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be
`2.50x+54`.

To find the number of video-games that will cost same for both options, we will equate both expressions as:

`4.75x=2.50x+54`

`4.75x-2.50x=2.50x-2.50x+54`

`2.25x=54`

`(2.25x)/(2.25)=(54)/(2.25)`

`x=24`

Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.