2.2+Changing+the+Walking+Rate

Problem 2.2, Changing the Walking Rate.

A. Use the walking rates given in 2.1 to make a table showing the distance and time for Terry, Jade, and Jerome. How does the walking rate affect the data in the table?



As the walking rate increases, the farther that person will go in a certain time period.

B. Graph the time and distance data for these three students. How does the walking rate affect the graphs?



The higher the walking rate, the steeper the slope of their data will be on a graph.

C.

For each student, write an equation that gives the relationship between their time and distance walked. How does the walking rate affect the equation?

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

The higher the walking rate, the higher the distance.

Follow Up:

1. How can you use the information in the table to predict whether or not this data will lie on a straight line when graphed?
 * Time (Seconds) || Distance (Metres) ||
 * 0 || 0 ||
 * 1 || 2 ||
 * 2 || 4 ||
 * 3 || 8 ||
 * 4 || 13 ||
 * 5 || 17 ||

The Y-value needs to be constant in order to get a linear relation ship. The Y-value is not constant here so it is not linear and will not lie in a straight line when graphed.

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

At the end of the race he/she must have sped up because the y value starts to get bigger but the x value stays the same.