Question

A video rental company offers a plan that includes a membership fee of $10 and charges $5 for every DVD borrowed. They also offer a second plan, that costs $45 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?

Answer 1

$45, if the first plan rents out no more than 7 DVDs. We start with $10, and add $5 for every DVD added. If you rent more than 7 DVDs with the first plan, the second may be more economical. :)

Answer 2

The total cost of plans A is $45 and there are 7 DVDs.

Given

A video rental company offers a plan that includes a membership fee of $10 and charges $5 for every DVD borrowed.

They also offer a second plan, that costs $45 per month for unlimited DVD rentals.

System of equations;

Let, x be the number of DVDs borrowed.

A video rental company offers a plan that includes a membership fee of $10 and charges $5 for every DVD borrowed.

$\rm 10+3x$

If a customer borrows enough DVDs in a month, the two plans cost the same amount.

$\rm 10+5x=45\\\\5x=45-10\\\\5x=35\\\\x=\dfrac{35}{5}\\\\x=7$

Hence, The total cost of plans A is $45 and there are 7 DVDs.

To know more about the system of equations click the link given below.

https://brainly.com/question/24498320