2.2+Changing+the+Walking+Rate

JO**
 * **5-17-09
 * Big idea**: Many real world situations can be modeled and predicted using mathematics
 * Essenital questions:** What is the relationship between a table, a graph and an equation?
 * Notes from 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?**



The walking rate affects the table because Jade and Jerome walks faster than the original time which goes up by 1. Which means the end results 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?**

If the walking rate is higher, the straigh line gets steeper.


 * C. For each student, write an equation that givfes 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?**

Terry: D = 1T Jade: D = 2T Jerome: D = 2.5T

Multiplying the T is the same for all of them but what its multiplying by is different which means the higher the number there multiplying it by, the higher their walking rate is.


 * F.U

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

The distance changes un equally which means the graph won't make a straight line since it doens't go up by the same number.


 * 2. Describe the race that might have produced these data**

The person could have had energy in the beggining and went faster each second but later wouold get tired and would eventually slow down. ||