Question

2. A game rental membership costs $20 per month including a one-time registration fee of $15 that must be paid once a year. If it costs $3 to rent a game for one day without the membership, how many days would you need to rent a game for you to save money by buying the membership? Explain your reasoning mathematically and show your work.

Answer 1

12 Days for the first month

Explanation:

First we need to take a look at the price of the membership and the registration fee.

Membership = $20

Registration Fee = $15

Total Payment = $20 + $15 = $35

Now let's take a look at the price for renting a game daily.

Daily Price = $3

Now to find how many days you need to rent the game to save money by buying the membership. We simply divide the total expenses for a month (assuming this is the first month).

# of days =
`(35)/(3)`

# of days =
`11.67 or 12 Days`

Let's assume that you rented the game for a month.

30 days x $3 = $90

The amount you'll pay for renting a game for a month without membership will be $90.

If the membership only cost a total of $35, then compared to the $90 a month the membership payment will be more beneficial and save you money.