1. Y = 1(2)x or y = 2x 2 1 NEXT=NOW*2; starting at 1 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 X y
Number
of Bacterium
Y = 1(2)x
or y = 2x 1
X 2 1 2
X 2 2 4
X 2 3 8
SEQUENCE
Plot points from graph
Initial Value
1st
2nd
3rd
4th 1 2 4 8 16
X 2
X 2
X 2
X 2
NEXT-NOW STATEMENT
Practical Domain
x > 0
Practical Range
NEXT=NOW*2; starting at 1
Y > 1

2. 6 1/3 Y = 6(1/3)x SITUATION 2 Amount of Flowers GRAPH MULTIPLIER
There are 6 flowers in a vase. After each day 1/3 of the flowers are left.
GRAPH
MULTIPLIER
(rate of change)
Y-intercept
(initial value) 6
1/3
TABLE
EQUATION X y
Y = 6(1/3)x 6 1 2 2
.667 = 2/3 3
.222 = 2/9
SEQUENCE
Initial Value
1st
2nd
3rd
4th
.667 = 2/3
.222 = 2/9
.0741 = 2/27 6 2
NEXT-NOW STATEMENT
Practical Domain
x > 0
NEXT = NOW *(1/3); Start at 6
Practical Range
0 < y ≤ 6

3. 100 1.05 y = 100(1.05)x SITUATION 3 Savings Account GRAPH MULTIPLIER
Joe has $ 100 in his savings account which earns interest at a rate of 5 % per year.
GRAPH
MULTIPLIER
(rate of change)
Y-intercept
(initial value)
100
1.05
TABLE
EQUATION X y
100 1
105 2
110.25 3
115.76
y = 100(1.05)x
SEQUENCE
Initial Value
1st
2nd
3rd
4th
110.25
115.76
100
105
121.55
NEXT-NOW STATEMENT
Practical Domain
x > 0
NEXT = NOW *(1.05); Start at 100
y ≥ 100
Practical Range

4. 1.1 80 y = 80(1.1)x SITUATION 4 Stock Investment GRAPH MULTIPLIER
Sue has $ 80 that she invests in stock that is growing at a rate of 10 % per year.
GRAPH
MULTIPLIER
(rate of change)
Y-intercept
(initial value)
1.1 80
TABLE
EQUATION X y
y = 80(1.1)x 80 1 88 2
96.80 3
106.48
SEQUENCE
Initial Value
1st
2nd
3rd
4th 88
96.80
106.48 80
117.13
NEXT-NOW STATEMENT
Practical Domain
x > 0
NEXT = NOW *(1.1); Start at 80
y ≥ 80
Practical Range

5. .85 20,000 y = 20000(.85)x SITUATION 5 Value of a Car GRAPH MULTIPLIER
Tom has a $ 20,000 car that depreciates at a rate of 15 % per year.
GRAPH
MULTIPLIER
(rate of change)
Y-intercept
(initial value)
.85
20,000
TABLE
EQUATION X y
y = 20000(.85)x
20,000 1
17,000 2
14,450 3
12,282.50
SEQUENCE
Initial Value
1st
2nd
3rd
4th
17,000
14,450
20,000
10,440.13
NEXT-NOW STATEMENT
Practical Domain
x > 0
NEXT = NOW *(.85); Start at 20000
Practical Range
0 < y ≤ 20000

6. 8 1/4 y = 8(1/4)x SITUATION 6 Evaporation of Water GRAPH MULTIPLIER
Eight ounces of water is in a glass. At the end of each day ¼ of the water is left.
GRAPH
MULTIPLIER
(rate of change)
Y-intercept
(initial value) 8
1/4
TABLE
EQUATION X y
y = 8(1/4)x 8 1 2 2 .5 3
.125
SEQUENCE
Initial Value
1st
2nd
3rd
4th 8 2 .5
.125
.03125
NEXT-NOW STATEMENT
Practical Domain
x > 0
NEXT = NOW *(1/4); Start at 8
Practical Range
0 < y ≤ 8

7. 1.5 16 y = 16(1.5)x NEXT=NOW*1.5; starting at 16
SITUATION 7 Attendance Increase
On the opening day of a carnival, 16 people attended. After opening day, attendance increased by 50 %.
GRAPH
MULTIPLIER
(rate of change)
Y-intercept
(initial value)
1.5 16
TABLE
EQUATION X y
y = 16(1.5)x 16 1 24 2 36 3 54
SEQUENCE
Initial Value
1st
2nd
3rd
4th 16 24 36 54 81
NEXT-NOW STATEMENT
Practical Domain
x > 0
y ≥ 16
NEXT=NOW*1.5; starting at 16
Practical Range

8. 1.05 11,810 y = 11,810(1.05)x SITUATION 8 Population of a Village
In a certain year, the population of a village is 11, The population grows at a rate of 5 % per year.
MULTIPLIER
(rate of change)
Y-intercept
(initial value)
1.05
11,810
TABLE
EQUATION
X Years since 2010 Y
Population 1
12400 2
13020
y = 11,810(1.05)x
11,810 3
13,672
SEQUENCE
Initial Value
1st
2nd
3rd
4th
11,810
12,400
13,020
14,355
15073
NEXT-NOW STATEMENT
Practical Domain
x > 0
NEXT = NOW *(1.05); Start at 11810
y ≥ 11810
Practical Range

9. y = 2/3(3)x SITUATION 9 Volume of Balloon GRAPH MULTIPLIER 3
The volume of a balloon is 2/3 liter. As each gust of helium is added, the balloon triples its volume.
GRAPH
MULTIPLIER
(rate of change)
Y-intercept 2/3
(initial value)
TABLE
EQUATION X y
y = 2/3(3)x
2/3 1 2 2 6 3 18
SEQUENCE
Initial Value
1st
2nd
3rd
4th
2/3 2 6 18 54
NEXT-NOW STATEMENT
Practical Domain
x > 0
NEXT = NOW *3; Start at 2/3
y ≥ 2/3
Practical Range

10. 1.085 1800 y = 1800(1.085)x SITUATION 10 MULTIPLIER Y-intercept TABLE
The value of an antique vase was $1800 in Each year, it increased
its value by 8.5%
MULTIPLIER
(rate of change)
Y-intercept
(initial value)
1.085
1800
TABLE
EQUATION X y
y = 1800(1.085)x
1800 1
1953 2
2119 3
2299.1
SEQUENCE
Initial Value
1st
2nd
3rd
4th
1800
1953
2119
2299.1
2494.5
NEXT-NOW STATEMENT
Practical Domain
x > 0
NEXT = NOW *1.085; Start at 1800
y ≥ 1800
Practical Range

11. 3 2 y = 2(3)x SITUATION 11 Number of Friends on a Social Media Network
Bonnie has been on a social network. When she started, she was chatting with 2 friends. Her number of friends tripled every hour.
GRAPH
MULTIPLIER
(rate of change) 3
Y-intercept
(initial value) 2
TABLE
EQUATION X y
y = 2(3)x 2 1 6 2 18 3 54
SEQUENCE
Initial Value
1st
2nd
3rd
4th 6 18 54 2
162
NEXT-NOW STATEMENT
Practical Domain
x > 0
NEXT = NOW *3; Start at 2
y ≥ 2
Practical Range

12. SITUATION 12 ______________________________
GRAPH
MULTIPLIER
(rate of change)
Y-intercept
(initial value)
TABLE
EQUATION X y
SEQUENCE
Initial Value
1st
2nd
3rd
4th
NEXT-NOW STATEMENT
Practical Domain
Practical Range