Question

A company offers four plans for customers who want to rent DVDs and video games. The costs of the plans can be modeled by a linear function that combines a one-time membership fee with a per disc rental rate. The table shows the total costs, including membership fees, for a person who rents 1, 2, and 5 discs in a month.

Cost of Repairs
Discs rented
Plan A
Plan B
Plan C
Plan D
1
$14
$12
$10
$12
2
$17
$16
$15
$21
5
$26
$28
$30
$48

Which plan has the smallest one-time membership fee?
plan A
plan B
plan C
plan D

Answer 1

Plan C has the smallest one-time membership fee among the four plans.

The Breakdown

To determine which plan has the smallest one-time membership fee, we need to compare the costs for renting 1 disc in a month for each plan. The table provides the total costs, including membership fees, for renting 1, 2, and 5 discs in a month for each plan.

Looking at the costs for renting 1 disc in a month:

- Plan A has a cost of $14.

- Plan B has a cost of $12.

- Plan C has a cost of $10.

- Plan D has a cost of $12.

Comparing these costs, we can see that Plan C has the smallest one-time membership fee of $10. This means that for Plan C, the majority of the cost is attributed to the per disc rental rate rather than the one-time membership fee.

Therefore, based on the given information, Plan C has the smallest one-time membership fee among the four plans.