Unit Rates
Proportions
Proportional Graphs
Constant of Proportionality
Mixed Bag
100
A printer can print 240 pages in 8 minutes. How many pages does it print per minute?
What is 30 pages per minute?
100
Solve:
3 = b
------ ------
4 12
What is b = 9?
100
Is the graph proportional? Explain.
Yes, it has a straight line that starts at the origin.
100
What is the constant of proportionality in miles per hour?
What is 65?
100
Which variable is used to represent the constant of proportionality?
What is k?
200
A car travels 150 miles in 5 hours. How many miles does the car travel per hour?
What is 50 miles per hour?
200
Is the table proportional? Explain.
Yes, it has the same unit rate of $2.65.
200
Is the graph proportional?
No, it does not start at the origin.
200
What is the constant of proportionality (k) in the equation: y = 2x
What is 2?
200
What does the point represent in the graph?
What is 5 tickets cost $40?
300
It is $39.96 for 4 pizzas. How much is it per pizza?
It cost $9.99 for 1 pizza
300
Is the table proportional? Explain.
No, they do not have the same unit rate.
300
What is the unit rate for the following proportional graph?
$20 per ticket
300
A jogger runs 33 miles in 5.5 hours. What is the constant of proportionality?
Let x represent hours
Let y represent miles
What is 6?
300
What is the ratio used to calculate the constant of proportionality?
What is y
---
x
400
Recipe 1: 3 cups of flour to make 12 pancakes.
Recipe 2: 4 cups of flour to make 8 pancakes.
Which recipe uses less flour per pancake?
What is recipe 1?
400
Solve:
m = 7.5
---- -----
4 10
What is m = 3?
400
What does the point (3, 60) represent?
What is 3 concert tickets cost $60?
400
A baker makes cakes at a constant rate. They make 12 cakes in 3 hours. Write an equation in the form y=kx to represent this situation.
Let x represent hours
Let y represent cakes
What is y=4x?
400
A runner jogs 3/4 of a mile in 12 minutes. How many minutes will it take them to run one mile?
What is 16 minutes?
500
Store #1 sells 5 pounds of apples for $4. Store #2 sells 4 pounds of apples for $2. Which store sells apples at a better price per pound?
What is store #2?
500
Marcus can type 90 words in 3 minutes. How many words will he type in 7 minutes?
What is 210 words?
500
What is the admission cost for 1 student?
What is 2 dollars?
500
The market sells apples at a constant price. If 10 apples cost $25, how much will 12 apples cost?
Let x represent apples
Let y represent the price
What is $30
500
Write an equation to represent the relationship shown in the graph:
What is y = 2x?