Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Unit Rate
MISC.
100
What is the ordered pair for the origin?
** Don't forget your parentheses around the ordered pair! **
(0,0)
100
Is this equation proportional? y= 3x
If so, what is the constant of proportionality? (K)
Yes
k=3
100
A car travels 120 miles in 3 hours (with a constant speed). How long will it take to travel 200 miles?
5 hours
100
Marisol paid $3.00 for 2/5 pound of sliced turkey meat. What was the price per pound of the turkey meat?
$7.50 per pound.
100
Solve for x. 3x + 5 = -19
x = -8
200
A relationship between two quantities that is changing at a CONSTANT rate is:
a. proportional
b. nonproportional
a. proportional
200
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= 4x + 10
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Chen rode his skateboard 3 3/4 miles in 3/4 of an hour. What was his average speed in miles per hour?
5 miles per hour
200
What operation do you use to find the unit rate?
Division
300
What are the two rules to know if a graph is proportional?
1. The line is straight (to show a constant rate)
2. The line goes through the origin (0,0)
300
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= ¾ x
proportional
k= 3/4
300
Is the table proportional?
No
300
Jason bought pecans in bulk at the grocery store. He paid $19.20 for 2 1/2 pounds of pecans.
$7.68 per pound
300
What is Mr. Mathis' daughter name and how old is she?
Sevyn is 3 years old
400
Is this graph proportional? Explain WHY.
Yes, it is a straight line that goes through the origin.
400
Using this graph, What is the equation? Write your constant of proportionality as a FRACTION. 
y= 1/6x
400
Is the table proportional?
Yes it is proportional
400
Benjamin bought a 5-pound bag of flour for $7.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)
$0.10 per ounce
400
Charlotte earns 4 1/2 minutes of playing video games for every 12 math homework problems she completes. Tonight's homework has a total of 60 math problems. What is the most time she will be able to play video games tonight?
22 1/2 minutes
500
A recipe for lemonade is given by the equation y = 4x where x represents the cups of lemonade mix and y represents the cups of water.
If Tyler had 16 cups of lemonade mix, how many cups of water would he need for each recipe?
64 cups of water
500
Write an equation for the table given the table is proportional.
y = 3/2 x
or y = 1 1/2x
or y = 1.5x
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.
500
Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles?
1 1/3 = 1 pound
3 3/4 = 5 pounds
500
When Lisa was 6 years old, her sister Lucy was half her age. If Lisa is 40 years old today how old is Lucy?
37 years old.