4.3+Calculating+Costs+and+Profits+0910

Sept. 23 2009 AS** //__Observation and description of changes in the world around us are the first steps in finding and learning about pattern __// . ** INV 4 Essential Question: How can I use graphs, tables and symbols to solve problems?


 * 4.3 A. Write an equation for the rule to calculate each of the following cost of any number, n, of customers.**

1. The equation for bike rentals would be 30n. (30 * n). (n=number of customer).

2. The equation for food and camp cost is 125n. (125 * n). (n=number of customer).

3. The equation for van rentals is c=700. (Cost= 700).

of customers.**
 * B. Write an equation for the rule to determine the total cost for any number, n,

The equation for total cost is 700+155n (700+155*n) (n=number of customers).

customers.**
 * C. Write an equation for the rule to determine the profit for any number, n, of

The equation for profit is 350n- 700+155n (700+155*n) (n=number of customers).

4.3 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 cost if they use his van.**

B represents the total cost if the students use his van because the only price they have to deal with two prices which are food and camp cost and the bike rentals. Equation b says C = 125n + 30n which is simply saying $125 + $30 * n (number of customers) is the cost. The other equations does not match the answers or and doesn’t make sense so the answer has to be B.

2. **If the partners require customers to supply their own bikes, which of these is the new equation for the total cost? (Assume the students will rent a van.)**

A represents the total cost if the partners require customer to bring their own bikes. Then they have to deal with two prices which are food and camp cost and bike rentals. The food and camp cost is $125 per customer and van rental is $700. Equation A is C = 125n + 700 which is 125 * number of customers + 700. The other equations do not make sense or match what the actual price for that amount of customer is. So I have made a conclusion the equation A is the equation that best represents the total cost if customers had to bring their own bikes.

3. **If the customer must supply their own bikes, which of these equations below represents the profit? (Assume the students will rent a van.)**

B represents the profit if the customers must bring their own bike because they only have to deal with two prices which are food and camp cost and the van rentals which is shown in the equation as numbers. Equation B is P = 350n – 125n + 700 or profit = $350 * number of customers - $125 * number of customers + $700 which is the equation that matches the profit, van rental and the food and camp cost.


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