SOLUTION: At the corner store video club, Nobu can pay $7.50 to sign up and then rent DVDs for $3 each. At the Pricebuster video club, there is no charge for signing up, but it costs $3.50 e

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At the corner store video club, Nobu can pay $7.50 to sign up and then rent DVDs for $3 each. At the Pricebuster video club, there is no charge for signing up, but it costs $3.50 e      Log On


   



Question 941988: At the corner store video club, Nobu can pay $7.50 to sign up and then rent DVDs for $3 each. At the Pricebuster video club, there is no charge for signing up, but it costs $3.50 each to rent DVDs
Write and graph a system of linear equations that relates the total cost at each video club to the number of DVDs rented. Label each equation on your graph.
If your graph includes a point of intersection, what does the point of intersection represent in the context of the problem?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of DVD's rented
Let +y+ = cost in dollars of renting +x+ number
of DVDs
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Corner store:
(1) +y+=+3x+%2B+7.5+
Pricebuster:
(2) +y+=+3.5x+
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Here are the plots. Equation (2) goes through the origin
+graph%28+400%2C+400%2C+-2%2C+20%2C+-5%2C+60%2C+3x+%2B+7.5%2C+3.5x+%29+
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The intersection is where the cost of renting +x+
number of DVDs is the same with either rental place