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SITUATION 1 Snowfall. At midnight, there was 1 bacterium. The number of bacterium doubled every hour. GRAPH. MULTIPLIER (rate of change). Y-intercept (initial value). 2. 1. TABLE. EQUATION. Hour after midnight. Number of Bacterium. Y = 1 ( 2 ) x
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SITUATION 1 Snowfall At midnight, there was 1 bacterium. The number of bacterium doubled every hour GRAPH MULTIPLIER (rate of change) Y-intercept (initial value) 2 1 TABLE EQUATION Hour after midnight Number of Bacterium Y = 1(2)x or y = 2x 0 1 X 2 2 1 X 2 2 4 X 2 3 8 SEQUENCE Plot points from graph 2 4 8 16 1 X 2 X 2 X 2 X 2 NEXT-NOW STATEMENT Practical Domain All non-negative numbers Practical Range NEXT=NOW*2; starting at 1 All numbers at least one
SITUATION 2 Amount of Flowers GRAPH MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION Y = 6(1/3)x SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 3Savings Account GRAPH MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 4 Stock Investment GRAPH MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION Value of a Car GRAPH MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 6 Evaporation of Water GRAPH MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 7 Attendance Increase GRAPH MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain NEXT=NOW*1.5; starting at 16 Practical Range
SITUATION 8 Population of a Village MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 9 Volume of Balloon GRAPH MULTIPLIER 3 (rate of change) Y-intercept 2/3 (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 10 The value of an antique vase was $1800 in 2010. Each year, it increased its value by 8.5% MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 11 Number of Friends on a Social Media Network GRAPH MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 12 ______________________________ GRAPH MULTIPLIER (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range