Question

An online video game service has two different packages available. The first is an Unlimited Rental Package that costs $250 for 3 months and allows customers to rent as many games as they want. The second is the Standard Rental Package that initially has a flat fee of $130 but costs $4 per rental in the 3-month period. How many rentals on the Standard Rental Package would it take for both packages to equal the same price over 3 months? nses A) 2 B) 30 96

Answer 1

Answer:

It would take 30 rentals on the standard rental package to equal the same price as the unlimited package.

Step-by-step explanation:

To solve this situation we need to use systems of linear equations, which are represented by the following equation:

$\begin{gathered} \text{Total cost= initial fe}e+rate\text{ per rental}\cdot\text{ number of rentals} \\ \end{gathered}$

Then, for an unlimited rental package total cost is $250 for the 3 months.

On the other hand, for standard rental package:

$\begin{gathered} \text{Total costs=130+4x} \\ \end{gathered}$

Therefore, to determine how many rentals on a standard rental package would it take for both to equal the same price, just substitute the total cost of the unlimited package in the equation for the standard rental package:

$\begin{gathered} 250=130+4x \\ 4x=250-130 \\ 4x=120 \\ x=\frac{120}{4} \\ x=30\text{ rentals} \end{gathered}$