Module 4 Study Guide
A. A relationship where the ratio between
any two quantities is always the same.
B. A ratio with a denominator of 1; the word
unit means 1; the word "per" means for
one unit; examples: miles per gallon, days
per year.
Vocabulary Match!
Match the term on the left with the definition on the
left!
1. Unit Rate
C. Unit rate; in the equation y = kx, k
represents the constant of
proportionality.
2. Complex fraction
3. Proportional relationship
D. A ratio with a denominator of 1; the word
unit means 1; the word "per" means for
one unit; examples: miles per gallon, days
per year.
4. Constant of proportionality
5. The price of apples at a farm is $1.76 per
pound. Write equation to determine c, the
total price of n pounds of apples?
8. What does the point (1994, 400) on the
graph represent?
6. Draw a graph that shows a proportional
relationship between the number of hours
you rented a car for and the total amount
spent to rent car?
Amount
$40
$35
$30
$25
$20
$15
$10
$5
Hours 1 2 3 4 5 6 7 8 9 10
7. The regular price of a necklace is $36.95.
During a sale, the watch was marked 15%
off. What was the price of the necklace
during the sale?
9.
If 3/4 of a ton of sand covers 2/5 of a
playground, how many tons of sand are
required to cover the entire playground?
Module 4 Study Guide
10. The table below shows the proportional
relationship between the weight of dog
food, in ounces, and the number of packs of
dog food:
14. The graph below shows the price of different
numbers of cans of beads at a store:
Price in dollars
Number of Packs Number of Ounces
of dog food
of dog food
4
96
5
120
6
144
What is the constant of proportionality?
# of cans
11. The table shows the price for different
numbers of ice cream cones:
Number of
Ice Cream Cones
Price
(in dollars)
2
11
4
20
6
32
8
43
Does this table of numbers represent a
proportional relationship?
12. If a hose waters 5/7 of a lawn in 2 hour, how
much time will it take to water the entire
lawn?
13. Which unit rate is the lowest price per ounce?
Choice A: 6 ounces of chocolate for $3.98
Choice B: 13 ounces of Chocolate for $8.18
Which equation can be used to determine p,
the cost of b cans of beads?
15. Emily measured the height of a dresser as
4.27 feet, but the actual height was 4 feet.
What is the percentage of error in Emily’s
measurement?
16. A proportional relationship between the
number of pounds of tomatoes (x) and the
price in dollars (y) is graphed, and the ordered
pair (6,3) is on the graphed line.
What is the price of 1 pound of potatoes?
Show your work, including the proportion you
used to determine the price.
What does the ordered pair (10, 5) on the
graph represent?
Module 4 Study Guide
17. Fran’s Furniture Company charges $0.75 per
pound to ship furniture.
Write an equation to determine the total
cost, c, to ship p pounds of furniture. Use
your equation to determine the cost of
shipping a 223 pound dresser.
If the company reduces the cost to ship
furniture by 0.10 per pound, write an
equation to determine the total cost, c, to
ship p pounds of furniture with the reduced
cost.
18. Amy and her team had to fill a 400 pound
barrel with water. They realized the each
bucket filled 1/16 of the barrel. Each bucket
held 4 gallons. Write and solve an equation to
find the amount of water that will fill the
entire barrel. Show your work. Explain your
answer in words.
19. The price of a pair of shoes is $59.99 before
tax. Dan bought the shoes for 35% off. He
then paid 6% sales tax on the discounted
price.
How much did Dan pay in sales tax? Show all
work and steps in your solution.
What is the total amount that Dan paid for
the shoes? Show all work and steps in your
solution.