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# Ratios and Proportions

by

## Tabor Sands

on 13 November 2015

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#### Transcript of Ratios and Proportions

Ratios And Proportionality
Graphing
Proportionality with a graph
~ a ratio is the relationship between two numbers

~ Y=KX is an equation used with numbers for K

~To tell proportionality with a table, there has to be a constant of proportionality (COP)

~ To tell proportionality with a graph, the line that it makes has to intersect with the origin, and it has to be straight

~ Each ordered pair of ratios has a Dependent variable (x), and an Independent Variable (y)

~ A unit rate is a rate with 1 in the denominator

~ A rate is a comparison of measurements that have different units

~ A proportion is a number considered in a comparative relation to a whole number or thing
Summary
Independent and Dependent Variables
In each set of ratios, there is a Dependent variable, and a Independent variable. In this case, the dependent variable is c, or the cost, because it relies on W, the amount of wood. The wood is dependent because it doesn't rely on the price.
Lessons in this unit
Topics in this unit:

~Ratios and proportionality

~Graphing points on a grid

~Independent and Dependent Variables

~Rates and Unit Rates

2
4
8
16
12
24
14
28
16
32

In this case, this chart is proportional,because it has a constant of proportionality, which is the number you multiply the P by to get the X.
X2
X2
X2
X2
X2
Say you work at Best Buy, and you compare the purchases of Xbox One to Playstation 4. for every one Playstation purchase, there are 2 Xbox purchases.
Equations and constants of proportionality
The Constant of proportionality is the number you multiply the X by to get the y
3
3
3
3
2

K= Constant of proportionality

Y= Dependent Variable

X= Independent Variable
Side Note
2 is the Constant Of Proportionality
(COP)
P
X
We will put these pairs on a coordinate plane
Here are our ordered pairs from the graph:
(2,4)
(8,16)
(12,24)
(14,28)
(16,32)
origin (0,0)
31
o
32
Pieces Of Wood
(W)
Price Of Wood
(P)
(2,4)
(8,16)
(12,24)
(14,28)
this is our equation
not proportional tables
2
9
5
16
8
20
10
24
12
26
As you can see, there is no multiplicative factor, therefore the table is not proportional
VS
By: Tabor Sands
By: Tabor Sands
2 PS4s and 4 XBOXs
Independent and Dependent variables
Independent variables are numbers that are the determining factor in varibles
Dependent variables are the numbers that depend on the independent variable to give input, so they can give output
Has to be straight
To tell proportionality with a graph, the line:
Has to intersect with the origin (0,0)

Thanks For Viewing!
XBOX IS BETTER!
Xbox
VS

PS4
This chart represents the amount of major games released on each console in a year
X
P
14
42
15
45
16
48
17
51
18
54
19
57
p=X3 is our equation
X3

X3
X3

X3
X3

X3
Full transcript