4.3+Calculating+Costs+and+Profits+0910

William. C Sep, 27, 2009 Math 7B ** Variables and Patterns ** Big Idea: Observation and description of changes in the world around us are the first steps in finding and learning about patterns.

Essential Question : What are some of the variables around us? Notes: In class today we were talking about using equations to calculate costs. We were discussing how we could use algebra in our equations to simplify them (and we did, for example),here is a graph and lets say we were trying to find an equation for the profit, here is where algebra comes in(number of customers=N). The equation in worProxy-Connection: keep-alive Cache-Control: max-age=0 is, Profit=Income Times N-total costs. Now the real equation is: Profit=$350n-155n+700 so, Income=350n, Total costs=$350n-155n+700 __ 4.3 Calculating Costs and Profits __ A. Bike rantal=$30n Food and camp costs=$125n Van rental=$700
 * A. Write an equation for the rules to calculate each of the following costs for any number, n, of customers **
 * 1. Bike rental 2. Food and camp costs 3. van rental **

B. The Total costs= $155n+$700

C.Write an equation for the rule to determine the //Profit// for any number, n, of customers
C. The Profit= $350n-$155n+700 ** Follow Up **

** 1.Theo's father has a van he will let the students use at no charge. Which of these equations represents the total costs?**
1. B, C= 125n = 30n

** 2. If the partners require customers to supply their own bikes, which of these is the new equation for the total costs? (Assume the students will rent a van)**
2. A, C= 125n+700

** 3. If the customers must supply their own bikes, which equations below represents the profit? (Assume the students will rent a van)**
3. C, P= 350n-(125n+700)