3.2+Finding+Customers+10-11

Math, 7B 9/15/10 A.L

** 3.2, Finding Customers ** Big Idea:

** Observation and description of changes in the world around us are the first steps in discovering and learning about patterns. ** Essential Question:

** How can I visually explain situations where one thing changes based on another? ** New Vocabulary: None

Notes from class: · They have to make a profit and get enough customers. · Profit= Income- Costs · Graphing: easier to see differences.

**3.2, Finding Customers**
 * Sidney, Liz, Celia, Malcolm, and Theo had a route planned and a bike shop chosen. Now they needed customers. They had to figure out what price to charge so they could attract customers and make a profit.**


 * To help set a price, the partners did some market research. They obtained a list of people whole had taken other bicycles tours and asked 100 of them which of the following amounts they would be willing to pay for the Ocean and History Bike Tour: $150, $200, $250, $300, $350, $400, $450, $500, $550, $600. The results are shown in the table below.**


 * Tour Price || Number who would be customers at this price ||
 * $150 || 76 ||
 * $200 || 74 ||
 * $250 || 71 ||
 * $300 || 65 ||
 * $350 || 59 ||
 * $400 || 49 ||
 * $450 || 38 ||
 * $500 || 26 ||
 * $550 || 14 ||
 * $600 || 0 ||


 * Problem, 3.2**

**A.** **If you were to make a graph of the data, which variable would you put on the //x-axis?// Which variable would you put on the //y-axis//? Explain you choices.** I would put the number of customers on the y-axis, because it is dependant on the tour prices- that I would put on the x-axis, because it is independent.

**B.** **Make a coordinate graph of the data on grid paper.**

**C.** **Based on your graph, what price do you think the tour operators should charge? Explain you reasoning.** I think they should charge around $400, so that they make and profit and get enough customers.

Problem 3.2 Follow-Up

**1.** **The number of people who said they would take the tour depended on the price. How does the number of potential customers change as the price increases?** As the price increases the number of customers decreases, because they don’t want to pay as much.

**2.** **How is the change in the number of people who said they would go on the tour shown in the table? On the graph?** On the table it is quite hard to see where there were large differences, while it was easy to see in differences on the graph, because it is more visual.