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1、,Constant vs. Varying Change,Consider the following,Consider the following,A new pencil is placed in an electric sharpener.,Study the following chart. Does this chart show an increase or a decrease?,As time goes by, the length of the pencil is decreasing.,Minus 2 inches,Minus 2 inches,Minus 2 inches
2、,Is the rate of decrease constant or does the rate vary?,This is a constant rate of decrease. The pencil shrinks by 2 inches every minute.,Minus 2 inches,Minus 2 inches,Minus 2 inches,Time (in minutes),L e n g t h o f p e n c i l,0,1,2,3,4,0,9,8,7,6,5,4,3,2,1,10,How much time must pass before the pe
3、ncil is gone?,A Pencils Changing Length In A Sharpener,Time (in minutes),L e n g t h o f p e n c i l,0,1,2,3,0,9,8,7,6,5,4,3,2,1,10,EXTEND THE GRAPH.,After 2 minutes, the pencil will be gone.,A Pencils Changing Length In A Sharpener,Consider the following,Consider the following,Jack puts $5 into his
4、 piggy bank every week.,Study the following chart. Does this chart show an increase or a decrease?,As time goes by, Jacks savings is increasing.,Plus $5,Plus $5,Plus $5,Is the rate of increase constant or does the rate vary?,This is a constant rate of increase. Jack gains $5 each week.,Plus $5,Plus
5、$5,Plus $5,Time (in weeks),N u m b e r o f d o l l a r s,0,2,4,3,5,0,45,40,35,30,25,20,15,10,5,50,If Jack wants to have $45 in his piggy bank, for how many weeks must he save?,1,Jacks Savings,Time (in weeks),N u m b e r o f d o l l a r s,0,2,4,3,5,0,45,40,35,30,25,20,15,10,5,50,1,EXTEND THE GRAPH.,6
6、,7,8,9,After 9 weeks, Jack will have $45.,Jacks Savings,Consider the following,Consider the following,John works the concession stand at football games,Study the following chart. Does this chart show an increase or a decrease?,As time goes by, the number of hotdogs sold is increasing.,Plus 7,Plus 18
7、,Plus 5,Is the rate of increase constant or does the rate vary?,Plus 7,Plus 18,Plus 5,This is a varying rate of increase. Plus 7/Plus 18/Plus 5,N u m b e r o f h o t d o g s,5:00,5:30,5:45,0,45,40,35,30,25,20,15,10,5,50,5:15,Time,Hot Dog Sales,Notice how the graph does NOT make a straight line. This
8、 is an example of change that is NOT constant.,Consider the following,Consider the following,Jim is checking his heart rate every minute. He is in a relaxed state.,Study the following chart. Does this chart show an increase or a decrease?,There is neither an increase nor a decrease. There is NO chan
9、ge.,Plus 0,Plus 0,Plus 0,N u m b e r o f b e a t s per min.,1:00,1:10,1:15,0,90,80,70,60,50,40,30,20,10,100,1:05,Time,Jims Resting Heart Rate,This is an example of a graph that shows NO CHANGE.,This graph shows a constant increase.,This graph shows a constant decrease.,This graph shows no change.,Th
10、is graph shows an increase and a decrease.,Practice Time!,1) Determine the kind of change represented by the chart. A) Constant Increase D) Varying Increase B) Constant Decrease E) Varying Decrease C) No Change F) None of the above,Minus 5,Minus 5,Minus 5,1) Determine the kind of change represented
11、by the chart. A) Constant Increase D) Varying Increase B) Constant Decrease E) Varying Decrease C) No Change F) None of the above,2) Determine the kind of change represented by the chart. A) Constant Increase D) Varying Increase B) Constant Decrease E) Varying Decrease C) No Change F) None of the ab
12、ove,Plus 8,Plus 16,Plus 32,2) Determine the kind of change represented by the chart. A) Constant Increase D) Varying Increase B) Constant Decrease E) Varying Decrease C) No Change F) None of the above,3) Determine the kind of change represented by the chart. A) Constant Increase D) Varying Increase B) Constant Decrease E) Varying Decrease C) No Change F) None of the above,3) Determine the kind of change represented
