SOLUTION: Quick Copies charges $3.00 to send a fax plus $0.50 per page. The Copy King charges $0.80 per page with no initial fee. Make a recommendation of when you would use Quick Copie

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Question 1131890: Quick Copies charges $3.00 to send a fax plus $0.50 per page.
The Copy King charges $0.80 per page with no initial fee.
Make a recommendation of when you would use Quick Copies and Copy King.
1. Define the problem. (What are you trying to figure out?)
2. What is your plan to solve the problem? Be sure to include the techniques that you will be using.
3. Make a hypothesis. (What do you think will happen?)
4. Evaluate/solve the problem. Be sure to include equations, etc. and show all of your work.
5. What is your recommendation? Be very clear with your explanation.
6. Implement your solution
Answer by joshuajz(12) (Show Source):
You can put this solution on YOUR website!
I'll give you the recommendation of when you would use Quick Copies and Copy King:
First we can write two linear equations to define these stores.
Let y = Total Cost
Let x = Amount of copies
Quick Copies:
Copy King:
To find the point of intersection (Where both stores are the same price) we can do some algebra:

Therefore the x value of the POI (Point of intersection) is 10. We can now solve for the y value:

Therefore the POI is (10, 8) meaning at 10 copies it would cost $8 at both stores.
We can do some simple math to find out how much it would cost to be above or below 10 copies.
At 9 copies Quick Copies is $7.5 and Copy King is $7.2
At 11 copies Quick Copies is $8.5 and Copy King is $8.8
Therefore: At under 10 copies, Copy King is the better choice and over 10 copies Quick Copies is the better choice.
1. Trying to figure out which copier place is better for x amount of copies.
2. You can write this
3. You can write this
4. Look above.
5. Therefore statement above.
6. ?