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A DVD rental box has a membership plan in which a person pays a flat fee of $10 plus $2 for each DVD rental non-members pay $4.50 for each DVD rental after how many DVD rentals will the total amount spent at each rental box be the same

Respuesta :

cathylaureano94

Answer:

7

Step-by-step explanation:

3 dvd rentals for the non membership plan and 4 dvd rentals with the membership plan

marcthemathtutor

Answer:

4 DVDs

Step-by-step explanation:

let the number of DVDs rented be N

For Members:

Amount Spent = Flat Fee + (member price per dvd x number of DVDs)

given that flat fee = $10 and member price = $2,

Amount Spent = $10 + ($2 x N)

Amount Spent = 10 + 2N --------------- eq 1

For Non Members:

Amount Spent = Non-member price per dvd x number of DVDs

given that non-member price = $4.50,

Amount Spent = $4.50 x N

Amount Spent = 4.5N --------------- eq 2

Given that the total amount spent will be the same we can equate eq1 and eq2:

10 + 2N = 4.5N     (subtract 2N from both sides)

10 = 4.5N - 2N

10 = 2.5N   (rearrange and divide both sides by 2.5)

N = 10 / 2.5

N = 4  (answer)

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