3.1+Renting+Bicycles+0910

September 8th 2009 M. B.

** 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: How can I visually explain situations where one thing changes based on another?

Rocky's Cycle Center:
 * Number of Bikes || 5 || 10 || 15 || 20 || 25 || 30 || 35 || 40 || 45 || 50 ||
 * Rental Fee (dollars) || 400 || 535 || 655 || 770 || 875 || 975 || 1070 || 1140 || 1180 || 1200 ||

Notes:
__Items needed__
 * Bikes
 * Food
 * Camp
 * Water
 * GPS
 * Mobile phone
 * Maps
 * First aid kit
 * Gas (for the van)
 * Towels

For 10 people- Adiran's bike shop because it's more cheap For 20 people- Adiran's bike shop because it's more cheap For 30 people- Adiran's bike shop because it's more cheap For 40 people- Rocky's cycle center because it's more cheap For 50 people- Rocky's cycle center because it's more cheap

Problem 3.1
Overall they should use Rocky's cycle center because it costs less money and they want to make as much profit as possible. For me it is easyer to read a table so i changed Adrian's bike shop to a table. Then I just compared the two different tables and got the answer.
 * A. Which bike shop should Ocean and History bike tours use? Explain your choice.**
 * B. Explain how you used the information in the table and the graph to make your decision.**

Follow up
I don't think we should connect the points because it is constant and it will not help see that better if we connect the points. Rocky's cycle center- $1015 Adrian's bike shop- $960 __Patterns:__ Rocky's cycle center- in their table the rental fee icreased fast for the first half then the increase slowed down in the second half. Adrian's bike shop- In their graph the rental fee increased slowly in the first half the the increase went up very fast in the second half. We can predict the values that are not in the table by subtracting the difference between points to see what the difference is.
 * 1. In the graph from Adrian’s bike shop, would it make sense to connect the points with a line? Why or why not?**
 * 2. How much do you think each company would charge for 32 bikes?**
 * 3. For both the table and the graph, describe in words the pattern of change in the data.**
 * 4. Based on the patterns you found in part 3, how can you predict values that are not included in the table or graph?**