Respuesta :
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
[tex]C_1(x)=4.75x[/tex]
Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. So, the total cost is
[tex]C_2(x)=54+2.50x[/tex]
Now, [tex]C_1(x)=C_2(x)[/tex], if the rent in a year for the two options to be equal.
[tex]4.75x=54+2.50x[/tex]
[tex]4.75x-2.50x=54[/tex]
[tex]2.25x=54[/tex]
Divide both sides by 2.25.
[tex]x=\dfrac{54}{2.25}[/tex]
[tex]x=24[/tex]
Therefore, the rent in two options are equal for 24 video games.
