A video rental company offers a plan that includes a membership fee of $9 and charges $1 for every DVD borrowed. They also offer a second plan, that costs $44 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. What is that total cost of either plan? How many DVDs is that? Each option costs $ if a customer rents DVDs.

Question

Mathematics

Gwendolyn Mcintyre

Today, 09:34

A video rental company offers a plan that includes a membership fee of $9 and charges $1 for every DVD borrowed. They also offer a second plan, that costs $44 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. What is that total cost of either plan? How many DVDs is that? Each option costs $ if a customer rents DVDs.

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Answers (1)

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Vicente · Answer 1

A. $44

B. 35 DVD

Step-by-step explanation:

In this question, we have two different rental plans and we are asked to calculate the number of dvd rented in the first plan if the both resulted in the same amount.

Let's answer the first question.

We are told to calculate the total cost of either plan.

From the question, we can see that the maximum amount to pay is $44 for the second plan and we are told that the first plan was equal to the second plan as some amount of dvd was rented.

The total cost of either plan is thus $44.

Let's answer the second.

The first plan charged membership fee of $9 and rental fee of $1 per dvd. Since total cost here is $44, we have the following;

Let the number of DVD rented be n

9 + 1 (n) = 44

9 + n = 44

n = 44-9

n = 35

This means that a total of 35 DVD were rented