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Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

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Presentation on theme: "Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE."— Presentation transcript:

1 Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE MULTIPLIER (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION 1 2 Y = 1(2) x or y = 2 x Hour after midnight Number of Bacterium 0 1 2 3 2 1 4 8 X 2 1 24816 NEXT=NOW*2; starting at 1 All non-negative numbers All numbers at least one X 2 Plot points from graph

2 SITUATION 2 Amount of Flowers Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT Y = 6(1/3) x

3 SITUATION 3 Savings Account Xy 0100 1105 2110.25 3115.76 TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT

4 SITUATION 4 Stock Investment Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th 8896.80106.48 MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT

5 SITUATION Value of a Car Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th 17,00014,45012282.50 MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT

6 SITUATION 6 Evaporation of Water Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT

7 SITUATION 7 Attendance Increase Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT NEXT=NOW*1.5; starting at 16

8 SITUATION 8 Population of a Village X Years since 2010 Y Population 112400 213020 TABLE SEQUENCE Initial Value 1st2nd3rd4th MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT

9 SITUATION 9 Volume of Balloon Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th MULTIPLIER 3 (rate of change) Y-intercept 2/3 (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT

10 The value of an antique vase was $1800 in 2010. Each year, it increased its value by 8.5% SITUATION 10 Xy TABLE SEQUENCE Initial Value 1st2nd3rd4th MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT

11 SITUATION 11 Number of Friends on a Social Media Network Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th 61854 MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT

12 SITUATION 12 ______________________________ Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th MULTIPLIER (rate of change) Y-intercept (initial value) Practical Domain Practical Range EQUATION NEXT-NOW STATEMENT


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