Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every...

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Initial Value 1st 2nd 3rd 4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour TION 1 Snowfall X y TABLE GRAPH SEQUENCE MULTIPLIER (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENT Practical 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 X 2 1 X 2 X 2 X 2 X 2 2 4 8 16 EXT=NOW*2; starting at 1 All non-negative number All numbers at least one X 2 Plot points from gra

Transcript of Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every...

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

Initial Value 1st 2nd 3rd 4th

At midnight, there was 1 bacterium. The number of bacterium doubled every hour

SITUATION 1 Snowfall

X y

TABLE

GRAPH

SEQUENCE

MULTIPLIER(rate of change)

Y-intercept (initial value)

NEXT-NOW STATEMENT Practical Domain

Practical Range

EQUATION

12

Y = 1(2)x

or y = 2x

Hour after midnight

Number of Bacterium

012

3

21

48

X 2X 2

1X 2 X 2 X 2 X 2

2 4 8 16

NEXT=NOW*2; starting at 1All non-negative numbers

All numbers at least one

X 2

Plot points from graph

Page 2: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION 2 Amount of Flowers

X y

TABLE

GRAPH

SEQUENCEInitial Value 1st 2nd 3rd 4th

MULTIPLIER (rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

Y = 6(1/3)x

Page 3: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION 3 Savings Account

X y

0 100

1 105

2 110.25

3 115.76

TABLE

GRAPH

SEQUENCEInitial Value 1st 2nd 3rd 4th

MULTIPLIER (rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

Page 4: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION 4 Stock Investment

X y

TABLE

GRAPH

SEQUENCEInitial Value 1st 2nd 3rd 4th

88 96.80 106.48

MULTIPLIER(rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

Page 5: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION Value of a Car

X y

TABLE

GRAPH

SEQUENCEInitial Value 1st 2nd 3rd 4th

17,000 14,450 12282.50

MULTIPLIER(rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

Page 6: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION 6 Evaporation of Water

X y

TABLE

GRAPH

SEQUENCEInitial Value 1st 2nd 3rd 4th

MULTIPLIER (rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

Page 7: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION 7 Attendance Increase

X y

TABLE

GRAPH

SEQUENCEInitial Value 1st 2nd 3rd 4th

MULTIPLIER(rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

NEXT=NOW*1.5; starting at 16

Page 8: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION 8 Population of a Village

X Years since 2010

YPopulation

1 12400

2 13020

TABLE

SEQUENCEInitial Value 1st 2nd 3rd 4th

MULTIPLIER(rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

Page 9: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION 9 Volume of Balloon

X y

TABLE

GRAPH

SEQUENCEInitial Value 1st 2nd 3rd 4th

MULTIPLIER 3(rate of change)

Y-intercept 2/3 (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

Page 10: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

The value of an antique vase was $1800 in 2010. Each year, it increased its value by 8.5%

SITUATION 10

X y

TABLE

SEQUENCEInitial Value 1st 2nd 3rd 4th

MULTIPLIER (rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

Page 11: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION 11 Number of Friends on a Social Media Network

X y

TABLE

GRAPH

SEQUENCEInitial Value 1st 2nd 3rd 4th

6 18 54

MULTIPLIER(rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT

Page 12: Initial Value 1st2nd3rd4th At midnight, there was 1 bacterium. The number of bacterium doubled every hour SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE.

SITUATION 12 ______________________________

X y

TABLE

GRAPH

SEQUENCEInitial Value 1st 2nd 3rd 4th

MULTIPLIER(rate of change)

Y-intercept (initial value)

Practical Domain

Practical Range

EQUATION

NEXT-NOW STATEMENT