Proportional or Not?
From Tables
From Equations
From Graphs
Word Problems
100
What are the 2 characteristics of a proportional graph?
A straight line that goes through the origin
100
What is the fraction that helps us to determine the constant of proportionality from a table?
k = y/x
100
Write an equation for a relationship that has a constant of proportionality of 1/2.
y = 1/2x
100
The ordered pair on a graph of a proportional relationship is (5, 15). What is the constant of proportionality?
3
100
Peter sells shoes. On Monday he sold 15 shoes in 5 hours. On Tuesday he sold 18 shoes in 6 hours. How many shoes does Peter sell in an hour?
3 shoes per hour
200
Does the graph represent a proportional relationship?
Yes, it is proportional.
200
Write an equation that shows the proportional relationship.
y =12x
200
What is the constant of propotionality in the equation: y= 7x
7
200
Is this a proportional relationship on the graph?
y=0.6x - 4
No, it will not go through the origin.
200
Jose works a part time job after school. He worked 15 hours this week. His paycheck was $120. How much does Jose earn an hour?
$8
300
No, it is a linear line BUT it does not go through the origin.
300
How much would it cost for 12 adults to go to the amusement park?
$900
300
The community center provides tutoring for students. The cost of tutoring is $18 per session. Write equation to model the total cost.
y = 18x
300
What is the constant of proportionality?
5
300
Oysters can be shucked at a rate of 8 oysters per minute. Write an equation that represents this relationship.
y = 8x
400
Does the table represent a proportional relationship or not? Be able to explain your answer.
Not Proportional, when dividing y/x they do not all equal the same constant of proportionality.
400
Ari buys 12 packs of juice boxes that are on sale and pays a total of $ 48.00. How much will Ari pay to buy 8 more packs of juice boxes at the same store?
$32.00
400
What is the rate earned per hour, if the total pay is $186 for 24 hours? Write an equation to represent the situation.
y=7.75x
400
Write an equation that represents the relationship.
y=5x
400
Terri runs XC for Cooper and runs a 4 minute mile. How long will it take Terri to run 6.25 miles?
25 minutes
500
$2.49
500
Write a table of 4 different values for the following relationship:
y = 7x
x 1, 2, 3, 4
y 7, 14, 21, 28
500
Write an equation that represents the proportional relationship?
x 2 5 8 10
y 12 30 48 60
y = 6x
500
Write an equation that represents the situation.
y = 1/6x
500
David is making his own strawberry yogurt. He uses 4 cups of milk for every 14 strawberries. Write an equation that represents the situation.
y=3.5x