3.3+Predicting+Profit+10-11

September 28th, 2010 JRY Ja Young Ryu

** How can I visually explain situations where one thing changes based on another? **
In my math class, we are learning about predicting profits and knowing how to get profits and etc. These are the some vocabulary words that is need for this investigation.

Income- the total money you made from the business
This is how you get Profit = Income - Total Cost

=__﻿Problem 3.3__=

If there are 10 customers, there will be $150. For 25 customers it's $375 and for 40 customers it's $600.
=﻿B. How many customers are needed for the partners to earn a $200 profit? A $500 profit? A $600 profit?=

For $200 profit, they need about 15-17 people. For $500 profit you need 35-37 people. For $600 profit you need about 40 people.
=﻿C. How does the profit change as the number of customers increases? How is this pattern shown in the graph?=

As the number of customers increase, the profit will also go higher at the same time. In the graph the coordinates will go higher.
=﻿D. If the tour operators reduced their expenses but kept the price at $350, how would this change the graph?=

If the tour operators reduced their expenses but kept the price at $350, the coordinate points will rise more than before because the profit will be increasing.
=__﻿3.3 Follow-Up__=

=﻿In the profit graph, points at the intersection of two grid lines, such as (20, 300) and (40, 600), are easy to read. Use the "easy to read" points to figure out what the profit would be if only 1 customer went on the tour. How about 2 customers? 3 customers? 100 customers? Describe, in words, the estimated profit for any number of customers.=

The two points (20, 300) and (40, 600), I would put them into a fraction. 20/300 and 40/600.I know I can reduce them so I will reduce them. 2/30 and 4/60.Again it can reduce by 2. then it would be 1/15 for both of the points. That means that for 1 customer it's $15 profit. As I found the profit for 2 customers it will be $30 profit. 3 = $45. 100= $1500 profit