Charges of two Movie Rental Stores

A Linear System

The two Costs of Renting a Movie from two Rental Stores

The cost of renting a movie varies from each rental store. When looking to rent a movie, the price changed from different rental stores. It cost $2 a day to keep the movie from Store A. It cost a fixed price of $4 and then $1.00 a day on top of that at Store B.

Variables

C = total cost in $

d = amount of days the movie was rented

Equations

Store A:

C = $2d

y=mx+b

y=2x+0

y=2x


Store B:

C= $1d + $4

y=mx+b

y=x+4

Table

Big image

Graph

Big image

Point of Intersection

The point of intersection for these two lines is (4, 8).
Big image

Significance

The solution of this linear system will tell you which video store to rent your movie from. It tells us that if you want to rent your movie for less than 4 days you should rent it from Store A. If you want to rent the movie for longer than 4 days you should rent your movie from Store B. If you want to rent the movie for 4 days, it doesn't matter which store you rent it from because both prices would be the same.

Renting a movie for one day:

Store A: $2

Store B: $5


Renting a movie for 2 days:

Store A: $4

Store B: $6


Renting a movie for 4 days:

Store A: $8

Store B: $8


Renting a movie for 8 days:

Store A: $16

Store B: $12


Renting a movie for 20 days:

Store A: $40

Store B: $24

Summary

It will cost $8 to rent a movie for 4 days from both stores.

In the end, if you want to rent the movie for less than 4 days rent from Store B and if you want to rent the movie for longer than 4 days rent from Store A.