Download 4Fslope Table Graph Equation (student)

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5, 7, 9, 11, 13, 15, 17
+2
+2
+2
+2
+2
+2
Next = Now + 2; Starting at 5
Y = 2x + 5
Slope
Y-intercept
(change)
(starting value)
Next = Now + SLOPE; Starting
at Y-INTERCEPT
y = SLOPE(x) + Y-INTERCEPT
SITUATION 1
Snowfall
There are two inches on the ground at midnight. Each hour
the snowfall increase by ½ inch.
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
X
EQUATION
y
SEQUENCE
Initial Value
1st
2nd
NEXT-NOW STATEMENT
3rd
4th
Practical Domain
Practical Range
GRAPH
SITUATION 2 Rainfall
GRAPH
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
X
EQUATION
y
y = 1/4x + 6
SEQUENCE
Initial Value
1st
2nd
NEXT-NOW STATEMENT
3rd
4th
Practical Domain
Practical Range
SITUATION 3 (Cab fare)
GRAPH
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
EQUATION
X
Miles
Y
Cab fare
0
3
1
5.50
2
8
3
10.5
SEQUENCE
Initial Value
1st
2nd
NEXT-NOW STATEMENT
3rd
4th
Practical Domain
Practical Range
SITUATION 4 (money saved in bank)
GRAPH
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
X
EQUATION
y
SEQUENCE
Initial Value
1st
2nd
3rd
4th
50
70
90
110
NEXT-NOW STATEMENT
Practical Domain
Practical Range
SITUATION 5 (money in wallet paying for sodas)
GRAPH
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
X
EQUATION
y
SEQUENCE
Initial Value
1st
2nd
3rd
4th
8
6
4
2
NEXT-NOW STATEMENT
Practical Domain
Practical Range
SITUATION 6 (water in bathtub)
GRAPH
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
X
EQUATION
y
SEQUENCE
Initial Value
1st
2nd
NEXT-NOW STATEMENT
3rd
4th
Practical Domain
Practical Range
SITUATION 7 (Filling a bathtub)
GRAPH
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
X
EQUATION
y
SEQUENCE
Initial Value
1st
2nd
3rd
4th
NEXT-NOW STATEMENT
Practical Domain
Next = Now + ½; starting at 3
Practical Range
SITUATION 8
GRAPH
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
X Time
(min)
EQUATION
Y Words
typed
2
48
4
96
SEQUENCE
Initial Value
1st
2nd
NEXT-NOW STATEMENT
3rd
4th
Practical Domain
Practical Range
SITUATION 9 (Lemonade Stand)
GRAPH
SLOPE
2
(rate of change)
Y-intercept -10
(initial value)
TABLE
X
EQUATION
y
SEQUENCE
Initial Value
1st
2nd
NEXT-NOW STATEMENT
3rd
4th
Practical Domain
Practical Range
SITUATION 10 (Waiting in Line)
There are 10 people waiting in line before a store opens. Five people
GRAPH
enter the line every two minutes.
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
X
EQUATION
y
SEQUENCE
Initial Value
1st
2nd
NEXT-NOW STATEMENT
3rd
4th
Practical Domain
Practical Range
SITUATION 11 (Temperature (Co) over time)
GRAPH
SLOPE
Y-intercept
(rate of change)
(initial value)
TABLE
X
EQUATION
y
SEQUENCE
Initial Value
1st
2nd
3rd
7
3
-1
NEXT-NOW STATEMENT
4th
Practical Domain
Practical Range
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