WorksheetsUnit 4 Proportional Relationships Study Guide
Total questions: 33
Worksheet time: 2hrs 37mins
Find the unit rate. Round to the nearest hundredth, if necessary.
$175 for 12ft2
Find the unit rate. Round to the nearest hundredth, if necessary.
$4.99 for 12 lbs.
Find the unit rate. Round to the nearest hundredth, if necessary.
$46.06 for 14 gallons.
(a)
Bargain Barn offers a 24 roll package of toilet paper for $7.99. The 6 roll package is on sale for $4.99. Which is the better buy and what is the price per roll?
24 roll option; 24 cents per roll
6 roll option; 24 cents per roll
24 roll option; 83 cents per roll
6 roll option; 83 cents per roll
Walmart sells a case of 24 cans of Diet Coke for $7.89. Kroger sells a 12 pack of Diet Coke for $4.99. Which is the better buy and what is the unit rate?
The case of 24; 33 cents per can
The case of 12; 33 cents per can
The case of 24; 42 cents per can
The case of 12; 42 cents per can
Determine the constant of proportionality.
Write your answer in the form k=? with no spaces
y = 10x
(a)
What formula do you use to find the constant of proportionality?
y=kx
k=yx
y=xk
k=xy
What formula do you use to write an equation to describe a proportional relationship?
k=xy
y=kx
k=yx
y=xk
Which of the following situations form a proportional relationship? Select all that apply.
5 DVDs for $9 and 15 DVDs for $27
3 purses for $60 and 5 purses for $90
2 ink cartridges for $25 and 4 ink cartridges for $75
6 cups of coffee for $8 and 9 cups of coffee for $12
12 cans for $3 and 30 cans for $7.50
Determine the constant of proportionality.
Write your answer in the form k=? with no spaces
(a)
Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours. What is the constant of proportionality?
6.25
0.16
156.25
1.6
Determine the constant of proportionality.
Write your answer in the form k=? with no spaces
(a)
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours. Write an equation for the proportional relationship. Do not put any spaces in the equation.
(a)
Write an equation for the following proportional relationship.
Do not put any spaces in the equation.
(a)
43hour340 pages
A student used the complex fraction above to find a unit rate. Which quotient equals the fraction?
43÷340
34÷340
340÷43
340÷34
Which table shows a constant rate of change?
What does the coordinate point (4, 60) represent in this graph?
$4 in 60 weeks
4 is the x, 60 is the y
$60 in 4 weeks
60 is the x, 4 is the y
There are 108 feet in 36 yards. What is the constant of proportionality that relates y, the number of yards to x, the number of feet?
Write your answer in the form k=? with no spaces
(a)
Is this relationship proportional? Why or why not?
Yes, the constant of proportionality is 8.
Yes, the constant of proportionality is 7.
Yes, the constant of proportionality is 6.
No, the relationship between the age in years and height in inches is not proportional.
Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135.
What is the cost per ticket?
(a)
On a recent day, 7 Euros were worth $6 and 70 Euros were worth $60. Enter an equation in the form y=kx to show the relationship between the number of Euros and the value in dollars. Let y be the value in dollars and x be the number of Euros.
If your answer has a fraction use the / key. Don't put any spaces in your answer.
(a)
Nikki has a box of crayons. In the box 6020 of the crayons are blue. Select the three fractions that are proportional to the fraction of blue crayons in Nikki's box.
62
31
52
124
207
Choose the 2 best answers to identify what the point (2, 40) represents according to the context of the graph.
40 miles every 2 gallons
40 gallons every 2 miles
20 miles every 1 gallon
20 gallons every 1 mile
John’s pay is a proportional
relationship. He made $200 for
working 20 hours one week. What are the independent(x) and dependent(y) variables?
The independent variable(x) is hours, the dependent variable(y) is money.
The independent variable(x) is money, the dependent variable(y) is hours.
The independent variable is y, the dependent variable is x
At a store a package of 15 American cheese slices costs $2.40. Some information about other types of cheese at the store is shown in the table.
Select the two types of cheeses that have the same unit rat as the American cheese.
Chedder
Colby
Mozzarella
Provolone
Swiss
Select the two relationships that represent a proportional relationship.
(a)
Christopher makes a graph to show the relationship between the number of weeks that have passed, x, and the number of times he has updated his website, y. What is the coordinate of the point that represents the unit rate?
Type your coordinate point without spaces
(a)
Which statement about the ordered pair (5, 25) is true?
It takes 5 minutes to charge 25 tablets
It takes 25 minutes to charge 5 tablets
It takes 5 minutes to charge one tablet to 25%
It takes 25 minutes to charge one tablet to 5%
It takes 3 hours to assemble one item at a shipping warehouse.
It takes 3 hours to assemble six items at a shipping warehouse.
It takes 6 hours to assemble one item at a shipping warehouse.
It takes 6 hours to assemble three items at a shipping warehouse.
One gallon of gas costs $0.45
Two gallons of gas costs $5.00
Two gallons of gas costs $0.75
Five gallons of gas costs $2.00
3
3.6
4.2
5
