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SITUATION 1 Snowfall At midnight, there was 1 bacterium. The number of bacterium doubled every hour MULTIPLIER (rate of change) Y-intercept 2 EQUATION X Hour y Number after midnight of Bacterium 0 1 2 1 2 4 8 3 1 (initial value) TABLE GRAPH Y = 1(2)x or y = 2x X2 X2 X2 SEQUENCE Initial Value 1 1st X2 2 2nd X2 3rd 4 Plot points from graph 4th 8 X2 16 X2 NEXT-NOW STATEMENT Practical Domain NEXT=NOW*2; starting at 1 Practical Range x>0 Y>1 SITUATION 2 Amount of Flowers GRAPH MULTIPLIER Y-intercept (rate of change) (initial value) TABLE X EQUATION y Y = 6(1/3)x SEQUENCE Initial Value 1st 2nd NEXT-NOW STATEMENT 3rd 4th Practical Domain Practical Range SITUATION 3 Savings Account GRAPH MULTIPLIER Y-intercept (rate of change) (initial value) TABLE EQUATION X y 0 100 1 105 2 110.25 3 115.76 SEQUENCE Initial Value 1st 2nd NEXT-NOW STATEMENT 3rd 4th Practical Domain Practical Range SITUATION 4 Stock Investment GRAPH MULTIPLIER Y-intercept (rate of change) (initial value) TABLE X EQUATION y SEQUENCE Initial Value 1st 2nd 3rd 88 96.80 106.48 NEXT-NOW STATEMENT 4th Practical Domain Practical Range SITUATION 5 Value of a Car GRAPH MULTIPLIER Y-intercept (rate of change) (initial value) TABLE X EQUATION y SEQUENCE Initial Value 1st 2nd 3rd 17,000 14,450 12282.50 NEXT-NOW STATEMENT 4th Practical Domain Practical Range SITUATION 6 Evaporation of Water GRAPH MULTIPLIER Y-intercept (rate of change) (initial value) TABLE X EQUATION y SEQUENCE Initial Value 1st 2nd NEXT-NOW STATEMENT 3rd 4th Practical Domain Practical Range SITUATION 7 Attendance Increase GRAPH MULTIPLIER Y-intercept (rate of change) (initial value) TABLE X EQUATION y SEQUENCE Initial Value 1st 2nd 3rd NEXT-NOW STATEMENT NEXT=NOW*1.5 starting at 16 4th Practical Domain Practical Range SITUATION 8 Population of a Village MULTIPLIER Y-intercept (rate of change) (initial value) y 120000 TABLE X Years since 2010 EQUATION 110000 100000 Y Population 90000 80000 70000 60000 1 12400 50000 2 13020 40000 30000 20000 SEQUENCE 10000 x Initial Value 1st 2nd NEXT-NOW STATEMENT 3rd -5 4th 5 10 15 20 Practical Domain Practical Range 25 30 35 40 45 50 55 60 SITUATION 9 Volume of Balloon MULTIPLIER (rate of change) 3 Y-intercept EQUATION y SEQUENCE Initial Value 2/3 (initial value) TABLE X 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 y -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 1st 2nd NEXT-NOW STATEMENT 3rd 4th Practical Domain Practical Range GRAPH x 1 2 3 4 5 6 7 SITUATION 10 The value of an antique vase was $1800 in 2010. Each year, it increased its value by 8.5% y MULTIPLIER Y-intercept (rate of change) (initial value) TABLE X 4000 EQUATION 3000 y 2000 1000 SEQUENCE x -4 Initial Value 1st 2nd NEXT-NOW STATEMENT -3 3rd -2 -1 1 2 4th Practical Domain Practical Range 3 4 5 6 7 SITUATION 11 Number of Friends on a Social Media Network GRAPH MULTIPLIER Y-intercept (rate of change) (initial value) TABLE X EQUATION y SEQUENCE Initial Value 1st 2nd 3rd 6 18 54 NEXT-NOW STATEMENT 4th Practical Domain Practical Range SITUATION 12 ______________________________ GRAPH MULTIPLIER Y-intercept (rate of change) (initial value) TABLE X EQUATION y SEQUENCE Initial Value 1st 2nd NEXT-NOW STATEMENT 3rd 4th Practical Domain Practical Range