Question

Define variables and write a system of equations for each situation. Solve by using substitution.Suppose you want to join a video store. Big Video offers a special discount card that costs $9.99 for one year. With the discount card, each video rental costs $2.49. A discount card from Main Street Video cost $20.49 for one year. With the Main Street Video discout card, each video rental costs $1.79. After how many video rentals is the cost the same?

Answer 1

15

Explanation:

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Answer 2

The cost is the same after 15 video rentals

Explanation:

Let the total cost be y

Let the number of video rentals made be x

Discount card for Big video = $9.99

Discount card for Main Street video = $20.49

Cost of 1 big video rental = $2.49

Cost of 1 Main Street video rental = $1.79

Cost of video rentals with big video:

Y = 9.99 + 2.49x………….(1)

Cost of video rentals with main street video :

Y = 20.49 +1.79x…………(2)

For the two costs to be equal, the two equations have to be equal to each other

Equating equations (1) and (2)

9.99 + 2.49x = 20.49 +1.79x

0.7x = 10.5

X = 10.5/0.7

X = 15 video rentals