Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. A video rental company offers a plan that includes a membership fee of $8 and charges $1 for every DVD borrowed. They also offer a second plan, that costs $17 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that? What is that total cost of either plan? If a customer rents DVDs, each option costs $.

Question

Mathematics

Aarav

24 April, 17:50

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. A video rental company offers a plan that includes a membership fee of $8 and charges $1 for every DVD borrowed. They also offer a second plan, that costs $17 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that? What is that total cost of either plan? If a customer rents DVDs, each option costs $.

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Answers (1)

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Selah Guerra · Answer 1

9 DVD

Step-by-step explanation:

Let the number of DVD borrowed = x

In the first plan, the video rental company offers a plan that includes a membership fee of $8 and charges $1 for every DVD borrowed.

Total Charges for first plan = $8 + ($1 X x) = $ (8+x)

They also offer a second plan, that costs $17 per month for unlimited DVD rentals.

Total Charges for second plan=$17

We want to find the number of DVD for which the two plans cost the same.

8+x=17

x=17-8

x=9

If a customer rents 9 DVD, the plan costs the same

The total Cost is $17