Name________________________

CONSTANT OF PROPORTIONALITY #1--RUBRIC

Directions:  Liam, Nathan, Lucas, and Jack wanted to get in shape for the upcoming basketball season.  They decided to run laps around the gym and record the results.  Each of the boys tried to keep a steady pace during the laps, but not everyone was able to maintain the same speed throughout the training.  The results of their training are listed below. 

										
	      Liam		             Nathan		         Lucas				Jack
Minutes	Laps	
2	3.5	
4	7	
6	10.5	
8
10	14
17.5	
					
Minutes	Laps	
1	2	
2	4	
3	6	
4
5	8
10	
Minutes	Laps	
1	3	
2	6	
3	8	
4
5	10
11	

1)	Which of the boy(s) above has results that are not proportional?  Explain why. (1 point)	         

Lucas’ results are not proportional.  He began at a pace of 3 laps/minute and began to slow down.

2)	For the boys whose results are proportional, find the constant of proportionality between their laps and minutes.  (3 point)    		

	Liam : 2 laps/minute		Nathan: 1.75 laps/minute		Jack:  4 laps/minute

3)	 Imagine that you are the fifth participant in the drill.  You ran the laps at a rate that was 1 lap per minute slower than Jack.  Complete the table below to show your results at this slower rate.   (3 points)
Minutes	Laps	
0.5	1.5	
1	3	
1.5	4.5	
2
5.5	 6
16.5	

4)	 On the graph below, plot data points that show a constant of proportionality of 2.5 between the number of laps and the minutes.   (3 points)

www.imathworksheets.com