Unit Rate
Proportional Relationships
Constant of Proportionality
Equations
Ratios
300
Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?
46 jumping jacks per minute
300
Which graph shows a proportional relationship? 
Graph 1. Graph 2
Graph 1
300
Find the constant of proportionality
k=15
300
Write the equation for the constant of proportionality:
y=35.5x
300
Mr. Johnson was paid $190 for a job that required 40 hours of work. At this rate, how much should he be paid for a job requiring 60 hours of work?
$285
400
Victor is throwing a Halloween party for his friends. He buys a bag of Halloween candy that has 150 pieces, which he will distribute equally among the 15 party guests.
How many pieces of candy does Victor give to each guest?
10 pieces of candy per guest
400
Complete the rest of the table
5, 12
400
What is the constant of proportionality?
k=2
400
Write an equation for constant of proportionality:
y=1/2x
400
At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 55 guests?
$52.25
500
Christine is on the school swim team. Yesterday, she spent 30 minutes practicing her freestyle stroke. During that time, she completed 40 laps in the pool.
1 1/3 laps per minute
500
Does this table show a proportional relationship? 
Yes
500
What is the constant of proportionality?
k=0.75
500
Write an equation for the constant of proportionality:
y= 1/2x
500
If the ratio of dogs to cats in a shelter is 3:4 and there are 51 dogs, how many cats are there?
68 cats