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 There are 6 flowers in a vase. After each day 1 / 3 of the flowers are left. 1/31/3 6 06 12 2.667 = 2 / 3 3.222 = 2 / 9 62.667 = 2 / 3.222 = 2 / 9.0741 = 2 / 27 NEXT = NOW *( 1 / 3 ); Start at 6 Nonneg. nos. nonneg nos. ≤ 6

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 Joe has $ 100 in his savings account which earns interest at a rate of 5 % per year. 1.05 100 y = 100(1.05) x 100105 110.25115.76 121.55 NEXT = NOW *(1.05); Start at 100 Nonneg. nos. y ≥ 100

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 Sue has $ 80 that she invests in stock that is growing at a rate of 10 % per year. 1.180 y = 80(1.1) x 080 188 296.80 3106.48 80117.13 NEXT = NOW *(1.1); Start at 80 Nonneg. nos. y ≥ 80

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 Tom has a $ 20,000 car that depreciates at a rate of 15 % per year..8520,000 y = 20000(.85) x 020,000 117,000 214,450 312,282.50 20,00010,440.13 NEXT = NOW *(.85); Start at 20000 Nonneg. nos. nonneg nos. ≤ 20000

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 Eight ounces of water is in a glass. At the end of each day ¼ of the water is left. 1/41/4 8 y = 8( 1 / 4 ) x 08 12 2.5 3.125 82.5.125.03125 NEXT = NOW *( 1 / 4 ); Start at 8 Nonneg. nos. ≤ 8

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 On the opening day of a carnival, 16 people attended. After opening day, attendance increased by 50 %. 1.516 y = 16(1.5) x 016 124 236 354 1624365481 Nonneg. nos. y ≥ 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 In a certain year, the population of a village is 11, 810. The population grows at a rate of 5 % per year. 1.0511,810 y = 11,810(1.05) x 0 11,810 3 13,672 11,81012,40013,02013,67214,353 NEXT = NOW *(1.05); Start at 11810 Nonneg. nos. y ≥ 11810

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 The volume of a balloon is 2/3 liter. As each gust of helium is added, the balloon triples its volume. y = 2 / 3 (3) x 0 2/32/3 12 26 318 2/32/3 26 54 NEXT = NOW *3; Start at 2 / 3 Nonneg. nos. y ≥ 2 / 3

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 1.0851800 y = 1800(1.085) x 01800 1 1953 22119 32299.1 1800195321192299.1 2494.5 NEXT = NOW *1.085; Start at 1800 Nonneg. nos. y ≥ 1800

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 Bonnie has been on a social network. When she started, she was chatting with 2 friends. Her number of friends tripled every hour. 3 2 y = 2(3) x 02 16 218 354 2162 NEXT = NOW *3; Start at 2

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