2.2+Changing+the+Walking+Rate+10-11

May 29th 2011 JYR (Ja Young)

Big Idea: Many real world situations can be modeled and predicted using mathematics.

Essential Questions:

__What is the relationship between a table, a graph and an equation?__ Notes from the class:
 * Linear Relationships make straight lined graphs because the number adds up by the same number**


 * A. In problem 2.1 each student walked at a different rate. Use the walking rates given in that problem to make a table showing the distance walked by each student after different numbers of seconds. How does the walking rate affect the data in the table? **


 * Time (Sec) || Terry (1m/sec) || Jade (2m/sec) || Jerome (2.5/sec) ||
 * 0 || 0m || 0m || 0m ||
 * 1 || 1m || 2m || 2.5m ||
 * 2 || 2m || 4m || 5m ||
 * 3 || 3m || 6m || 7.5m ||
 * 4 || 4m || 8m || 10m ||
 * 5 || 5m || 10m || 12.5m ||
 * 10 || 10m || 20m || 25m ||
 * 20 || 20m || 40m || 50m ||
 * 30 || 30m || 60m || 75m ||
 * 40 || 40m || 80m || 100m ||
 * 50 || 50m || 100m || 125m ||

The walking rate affects the table because Jade and Jerome walks faster than the original time which goes up by 1. That means at the end of the result it will be different.


 * B. Graph the time and distance data for the three students on the same coordinate axes. Use a different color for each student's data. How does the walking rate affect the graphs on the graphs? **



As the rate gets higher the line goes more steeper.

Multiplying the T is the same for all of them but what multiplying by is different which means the higher the number there multiplying it by, the higher their walking rate is.
 * C.For each student, write an equation that gives the relationship between the time and the distance walked. Let d represent the distance in meters and t represent the time in seconds. How does the walking rate affect the equations?**

d=distance t=time Terry: d=1t Jade: d=2t Jerome: d=2.5t

2.2 F.U


 * 1. Use the table to determine how the distance changes as the time increases. How can you use this informati nto predict whether or not the data will lie on a straight line when graphed?**

This table, shows that as the time increases the distance also increase, but this does not go up by linear pattern but just random pattern, This won't make a straight line because it doesn't have linear relationship.

This person started to walk fast and tried to win but however as the time increased he/she started to slow down because he/she was tired. media type="youtube" key="rgvysb9emcQ" height="349" width="560"
 * 2. Describe the race that might have produced these data. **