An internet movie rental company charges a yearly membership fee of $50 plus $1.99 per DVD rental. Your neighborhood rental store has no membership fee and charges $3.99 per DVD rental. Write and solve an equation to find the number of DVDs so the cost for each will be the same.

Question

Mathematics

Ari Mathis

3 November, 02:04

An internet movie rental company charges a yearly membership fee of $50 plus $1.99 per DVD rental. Your neighborhood rental store has no membership fee and charges $3.99 per DVD rental. Write and solve an equation to find the number of DVDs so the cost for each will be the same.

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Natalya Gomez · Answer 1

You want to put the equation like $50 + $1.99x = $3.99x. Because its a one time fee of $50 and for every DVD (x) that cost $1.99 for the internet movie rental company. While the neighborhood rent is only $3.99 a DVD (x).

In order to find how much DVDs is needed so the cost can be the same is 25 DVDs. When you subtract the x variables so $3.99-$1.99 = $2. Now your equation should look like this $50 = $2x so then you divide $50 by $2 to get 25=x. If you plug 25 into the x variables you get $99.75=$99.75.