Name __________________
Unit Rates
A unit rate compares a quantity to one. Unit rates can be determined from proportional
graphs, tables, equations, and verbal descriptions.
Example 1:
Myrtle drives the same number of miles to and from work each day, as shown on the
graph below.
Based on the graph, what is the unit rate of miles driven per day?
Solution:
Find a point (x, y) on the graph to determine the unit rate.
Using the point (2, 60), the ratio of y to x is 60 miles for 2 days.
Since unit rate compares a quantity to one, convert 60 miles for 2 days to 30 miles per
day.
Example 2:
The table below shows the cost of grapes in the produce aisle at the grocery store.
Pounds
Cost
2
$4.30
4
$8.60
6
$12.90
8
$17.20
Based on the table, what is the price per pound of grapes?
Solution:
The price per pound of grapes can be modeled by the function y = kx, where x is the
number of pounds of grapes, y is the total price, and k is the price per pound.
Use point (2, 4.30) in the function y = kx to solve for k, which is the unit rate.
So, the unit rate for the price per pound of grapes is $2.15 per pound.
Example 3:
Ty earns a certain amount of money per hour at his job. The equation below shows how
much money he earned last week in h hours.
$12h = $324
What is the unit rate in the equation above?
Solution:
The unit rate in the equation is the amount of money Ty earns per hour. The total
amount of money he earned last week, $324, is equal to the amount he makes per hour
multiplied by the number of hours, h, he works.
Therefore, the unit rate is $12 per hour.
Example 4:
A pudding recipe requires of a cup of milk for every
rate of sugar to milk in the pudding recipe?
cups of sugar. What is the unit
Solution:
To find the unit rate of sugar to milk, divide the amount of sugar by the amount of milk.
Therefore, the unit rate is
cups of sugar per cup of milk.
Comment on Lesson 1 2 Next
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1. The diagram below shows the relationship between the number of blue
paint cans and red paint cans needed for an art project.
Based on the diagram, what is the unit rate for this project?
A. 2.5 red cans per blue can
B. 1.5 blue cans per red can
C. 1.5 red cans per blue can
D. 2.5 blue cans per red can
2. A punch recipe requires of a cup of pineapple juice for every
cups of
soda. What is the unit rate of soda to pineapple juice in the punch?
A.
B.
C.
D.
3. The seventh grade choir sold pizzas as a fundraiser. The choir teacher
created the graph below for the students.
Based on the graph, what is the unit rate of profit for the pizzas?
A. $0.56 per pizza
B. $8.00 per pizza
C. 18 pizzas per $10
D. $1.80 per pizza
4. Martina walked of a mile in of an hour. At this rate, how far can Martina
walk in one hour?
A.
B.
C.
D.
5. Richard can read of a book in of an hour. At this rate, how much can
Richard read in one hour?
A.
B.
C.
D.
6. The science club is inflating a model of a hot air balloon. The graph below
shows their progress.
At what rate is the diameter increasing?
A. 0.04 centimeter per minute
B. 25 centimeters per minute
C. 2 centimeters per minute
D. 50 centimeters per minute
7. Donna bought 4 bags of dog treats for $9.40. What is the cost per bag of
dog treats?
A. $2.35
B. $13.40
C. $0.43
D. $3.13
8. A 1,230-foot tree has grown at a constant rate each year. In the equation
below, t is the age of the tree in years.
30t = 1,230
What is the unit rate in the equation above?
A. 1,200 feet per year
B. 1,230 feet per year
C. 30 feet per year
D. 41 feet per year
9. The table below shows the cumulative distance and the number of hours
Ryan drove on vacation.
Hours Driving
Distance Traveled
(miles)
0
0
3
168
4
224
7
392
10
560
Based on the information in the table, at what speed did he drive (miles per
hour)?
A. 46 miles per hour
B. 39 miles per hour
C. 63 miles per hour
D. 56 miles per hour