Q:

The following data was collected on a cheetah. It ran ½ mile in 2/3 min, ¼ mile in 1/3 min, and ¾ mile in one minute.1.Give one method that can be used to prove that the different rates for the cheetah’s data are proportional or non-proportional.2.Create an equation, a table, and a graph to show that the relationship for cheetah’s data is proportional or non-proportional.3.Explain to your peers how, the graph and table were valid in explaining proportionality or non-proportionality of the cheetah’s data.

Accepted Solution

A:
Yes, the are proportional. To do this, just divide the distance in each example by the number of minutes. You will get 3/4 each time, so they are proportional.

For your table, just create 3 columns.
Distance      Time       Rate
2/3                1/4          3/4

If you make a table, you will have the same rates. If you graph the data, it will be linear through the origin. Both ways prove that it is proportional.