Graphing Proportional Relationships
Identifying Proportional Relationships
Equations of Proportional Relationships
Fraction, Decimals and Percent's
Percent's and Ratios
100
What is the ordered pair for the origin?
** Don't forget your parentheses around the ordered pair! **
(0,0)
100
True or False:
The Constant of Proportionality, Slope, and Unit Rate are all the same in a Proportional Relationship
TRUE!
100
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= ¾ x
proportional
k= 3/4
100
75% as a Simplified Fraction
3/4
100
A $10 necklace is on sale for 20% off. What is the final price before tax?
$8
200
What are the two rules to know if a graph is proportional?
1. The points line up (to show a constant rate)
2. The line goes through the origin (0,0)
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
When Trayvon goes to the batting cages, he uses 2 tokens for every 10 pitches. There is a proportional relationship between the number of tokens Trayvon uses, x, and the number of pitches, y. Write the equation.
y=5x
200
5% as a decimal
0.05
200
What is the total cost of a $15 hat hat with a 6% sales tax?
$15.90
300
What does (2,100) represent?
The total cost after 2 hours is $100
300
Is the table proportional?
No
300
A drink recipe calls for cranberry juice and apple juice. This equation represents the proportional relationship between the number of pints of cranberry juice (c) and apple juice (a) in the recipe.
c=3a
Enter the number of pints of cranberry juice used for each pint of apple juice.
k=3
300
1/5 as a Decimal
.20
300
Grace has a 32 ounce soda bottle. She drinks 12 ounces. Enter the percentage of ounces Grace has left of her soda bottle. Round your answer to the nearest hundredth.
62.5%
400
Ms. Fletcher is selling shirts for a fundraiser. She is plotting points on a graph to show her students how much she makes, in $. She plots the points (0,0) , (8,64), and (18,144).
How much is each shirt?
One shirt is $8 because y/x = 8
400
Is the table proportional?
Yes it is proportional
400
Find the constant of proportionality (r).
Using r, write an equation in the form m=re that represents the relationship between the moons weight and Earths weight.
m= 1/6 e
400
0.053 as a Percent
5.3%
400
A book cost $12 but is on sale for 25% off.
Then there is a 6% sales tax. How much is the final cost?
$9.54
500
Ms. Fletcher is selling shirts for a fundraiser. She is plotting points on a graph to show her students how much she makes, in $. She plots the points (0,0) , (8,64), and (18,144).
What is the Equations of the Graph?
y=8x
500
How do you know if a table is proportional?
When you divide the y value with its x value, you get the same constant of proportionality in each row. y/x
500
Find the Constant of proportionality (r)
Write an equation for the table in the format y=rx.
y = 3/2 x
or y = 1.5x
500
120% of 10
12
500
Grace uses 1/6 cups of orange juice for every 1/3 cup of cranberry juice to make a fruit drink.
Enter the number of cups of orange juice Grace uses for 1 cup of cranberry juice.
1/2 or 0.5 cups of orange juice