207k views
4 votes
Define variables and write systems of equations for the situation. Solve using substitution. Suppose you want to join a video store. Big video offers a special discount card that costs $9.99 per year. With the discount card, each video rental costs $2.49. A discount card from Main Street Video cost $20.49 per year. With the Main Street Video discount card, each video rental costs $1.79. After how many video rentals is the cost the same? A. 17 B. 15 C. 9 D. 10. Please select the best answer from the choices provided.​

User Costrouc
by
5.4k points

2 Answers

5 votes

Answer:

B. 15

Explanation:

Because i did it on edge

User Jon Ekiz
by
5.4k points
7 votes

Answer:

(B) $15

Explanation:

Big Video: y = 2.49x + 9.99

Main Street: y = 1.79x + 20.49

easiest way to solve would be to graph and find the point of intersection or set 2.49x + 9.99 and 1.79x + 20.49 equal to each other

2.49x + 9.99 = 1.79x + 20.49

subtract 1.79x from each side to get:

.70x + 9.99 = 20.49

subtract 9.99 from each side to get:

.70x = 10.50

divide each side by .70

x = 15

User Leonardo Andrade
by
4.9k points