Proportional or Not?
Constant of Proportionality
Write Equations
Fraction Unit Rates
100
Does the table represent a proportional relationship? Explain.
Yes. There is a constant unit rate of 5.
100
What is the constant of proportionality?
10
100
Does the equation y = 4x match this situation? Explain.
No, y = 4x does not match this table. The constant of proportionality is 10, not 4.
100
Doug entered a canoe race. He rowed 3 1/2 miles in 1/2 hour. What is his average speed in miles per hour?
7 miles per hour
200
Does the double number line represent a proportional relationship? Explain.
Yes. Every ratio simplifies to 4:1.
-OR-
Yes, there is a constant unit rate of 4.
200
What is the constant of proportionality? Remember to label your answer.
For every cup of milk, you will need 3 tablespoons of cocoa powder.
200
Write an equation to represent the relationship in this table.
y = 12x
200
Sophia used 1/3 an ounce of cheese to make 1/12 of a pound of pizza dough. How many ounces of cheese are needed to cover a pound of pizza dough?
4 ounces of cheese are needed to cover a pound of pizza dough.
300
Does the table represent a proportional relationship or not? Explain.
Not Proportional, when dividing y/x they do not all equal the same constant of proportionality.
300
What is the constant of proportionality for this table? Remember to label your answer.
The cost of each adult ticket is $75.
300
Write an equation to represent the proportional relationship.
y = 4x -OR- b • 4 = c
300
Emma drank 1/4 of a milk shake in 2/5 of a minute. How many minutes will it take her to drink one full milkshake?
It will take her 1 3/5 minutes to drink a full milkshake.
400
Does the table represent a proportional relationship? Explain.
No, this table does not show a proportional relationship. The unit rate is not constant.
400
What is the constant of proportionality? Remember to label your answer.
For every hour, 12 miles are traveled.
400
Peaches are $2.19 per pound. Write an equation to represent this situation using p for pounds of oranges and c for the cost.
c = 2.19p
400
A recipe for punch uses 1/3 liter of ginger ale for every 4/5 liter of Hawaiian Punch. How many liters of ginger ale are needed for one liter of Hawaiian Punch?
5/12 liter of ginger ale are needed for one liter of Hawaiian Punch.
500
Does this table show a proportional relationship? Explain.
Yes it does. There is a constant unit rate of 1/3. Or the cost can be divided by by 3 to find the number of pounds of apples.
500
Create a table with a constant of proportionality of 4.
Answers will vary
500
A 3-pound bag of oranges costs $3.75. Write the equation that represents the cost, c, for p pounds of oranges.
1.25 • p = c -OR- c = 1.25p
500
Amare runs 1/10 mile in 2/3 minute. What is his speed in miles per minute?
His speed is 3/20 miles per minute.