Question

A video game customers to rent games for $4.75 each. Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. Find the number of video games a customer would have to rent in a year in order for the two options to be equal

Answer 1

Given:

A video game customers to rent games for $4.75 each.

Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each.

To find:

The number of video games a customer would have to rent in a year in order for the two options to be equal.

Solution:

Let x be the number of video games.

A video game customers to rent games for $4.75 each. So, the total cost is

$C_1(x)=4.75x$

Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. So, the total cost is

$C_2(x)=54+2.50x$

Now, $C_1(x)=C_2(x)$, if the rent in a year for the two options to be equal.

$4.75x=54+2.50x$

$4.75x-2.50x=54$

$2.25x=54$

Divide both sides by 2.25.

$x=\dfrac{54}{2.25}$

$x=24$

Therefore, the rent in two options are equal for 24 video games.