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 $40 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?
number of DVD rented .... x
so when is 5x + 10 = 40 ?
solve for x, then sub into 5x+10
(time to update that textbook, DVD rental outlets closed years ago)
To determine the total cost of either plan, we need to find the number of DVDs borrowed in a month where the two plans cost the same.
Let's assume the number of DVDs borrowed in a month is represented by the variable 'x'.
For the first plan, the total cost is the sum of the membership fee ($10) and the cost per DVD borrowed ($5). So the total cost for the first plan is:
Total cost for the first plan = $10 + $5x
For the second plan, the cost is a fixed amount of $40 per month, regardless of the number of DVDs borrowed.
Since we want to find the number of DVDs borrowed where the total cost for both plans is equal, we can set up the following equation:
Total cost for the first plan = Total cost for the second plan
$10 + $5x = $40
Now, let's solve this equation for 'x' to find the number of DVDs borrowed in a month where the two plans cost the same:
$5x = $40 - $10
$5x = $30
x = $30 / $5
x = 6
Therefore, if a customer borrows 6 DVDs in a month, the total cost for both plans will be the same. The total cost for either plan would be $40.