SOLUTION: A local arcade offers 2 packages. You can either pay $30 a month for unlimited games or pay a monthy fee of $10.50 plus $0.75 per game. Write an equation that shows the number of

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Question 1082156: A local arcade offers 2 packages. You can either pay $30 a month for unlimited games or pay a monthy fee of $10.50 plus $0.75 per game.
Write an equation that shows the number of games played and the cost of each membership if you pay $30 a month for unlimited games or $10.50 a month plus $0.75 per game.
What is the slope of each equation?
What information does the slope of each line represent in this context?
What is the Y-intercept in each equation?
What information does the Y-intercept of each line represent in this context?
When will the cost be the same?
Explain how to find from a table, a graph, and an equation.
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = monthly cost
Let = number of games played
1st package:

2nd package:

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(1)
The slope for 1st package is zero
The slope for 2nd package is
-----------------------------------
(2)
The slope shows how fast the cost is
change from month to month
-----------------------------------
(3)
1st package:
y-intercept = 30
2nd package:
y-intercept = .75
---------------------
The y-intercept is the fixed cost before any
games are played
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When will the cost be the same?
[ 1st package ] = [ 2nd package ]

The cost is the same when 26 games are played
After that the 2nd package will cost more than
the 1st
---------------------
Here's the plot: