The profit for selling 10 widgets is $17 and the profit for selling 15 is $32. VOCAB/TOPIC...
13
The profit for selling 10 widgets is $17 and the profit for selling 15 is $32. VOCAB/TOPIC Independent Variable ( ) - The quantity which determines the final value of whatever quantity is being measured. Dependent Variable ( ) - The quantity which one wishes to measure or predict. x y # ofW idgetsSold TotalProfitin $$ x y
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Transcript of The profit for selling 10 widgets is $17 and the profit for selling 15 is $32. VOCAB/TOPIC...
The profit for selling 10 widgets is $17 and the profit for selling 15 is $32.
VOCAB/TOPIC
Independent Variable ( ) - The quantity which determines the final value of whatever quantity is being measured.
Dependent Variable ( ) - The quantity which one wishes to measure or predict.
x
y
# of Widgets Sold
Total Profit in $$
x
y
The profit for selling 10 widgets is $17 and the profit for selling 15 is $32.
# of Widgets Sold
Total Profit in $$
x
y
Given the information above,
create a table, equation, and graph.
10,17 15,32
)()(
)()(
m
10,17 15,32
2y 1y
2x 1x
)()(
)()(
m32 17
15 103
15
5
SYMBOLIC
y = mx + b
# of widgets sold
Total Profit in $$
3m 10,17 15,32
17 3 10 b 17 30 b
3030
13b 3 13y x
Independent Variable
Dependent Variable
TABLE/CHART
Independent ( ) Dependent ( )
Name
Unit
x y
Widgets SoldName
Unit
Total Profit
# of Widgets Sold $$$$Expression Expression
x 3 13x 10 1715 320 13
GRAPHIC
(_________________)
(___
____
____
____
__)
(_______________________________)
x
y
# of Widgets
To
tal
Pro
fit
in D
oll
ars
Total Profit for Widget Sales
3 13y x
12
0, 13
0 3 13x 13 3x13
3x
14 ,0
3
# of Widgets(_________________)
(___
____
____
____
__)
(_______________________________)
x
y
To
tal
Pro
fit
in D
oll
ars
Total Profit for Widget Sales
3 13y x
2
0, 13
14 ,0
3
GRAPHIC
1
SYMBOLIC
x y
0 -13
10 17
15 32
TABLE/CHART
3 WAYS TO COMMUNICATE ALGEBRAICALLY
Function - Dependent relationship in which each input value has a single output value.
f (x ) = mx + b
y = f (x )
x 3 13x 10 1715 320 13
10 17f 15 32f
0 13f
Slope - rate of change of dependant variable with respect to independent variable.
Ratio of Rise to Run
( )
( )
Increasing functions - slope is ( ) examples: 1.
2.3.
Decreasing functions - slope is ( ) example1.2.3.
3m 31
3 Dollars per Widget
Positive
Negative
Dependent ( ) Independent ( )
17 10
32 15
Change
)()(
)()(
m)()(
)()(
m 2y
2x 1x
32 17
15 103
15
5 1y
515
xy
Dependent ( ) Independent ( )
32 16
16 24
Change
xy
816
16
82m
Dependent ( ) Independent ( )
3 7
-4 28
Change
xy
217
7
21
1
3m
# of Widgets
(___
____
____
____
__)
(_______________________________)
x
y
To
tal
Pro
fit
in D
oll
ars
Total Profit for Widget Sales
2
0, 13
14 ,0
3
DOMAIN/RANGE
1
0x 13y
