LESSON
2.1 Unit Rates
How do you find and use unit rates?
Texas Essential
Knowledge and Skills
The student is expected to:
Proportionality—7.4.B
Calculate unit rates from rates in mathematical and real-world problems.
Proportionality—7.4.A
Represent constant rates of change in mathematical and real-world problems
given pictorial, tabular, verbal, numeric, graphical, and algebraic representations,
including d = rt.
Proportionality—7.4.D
Solve problems involving ratios, rate, and percents, including multi-step problems
involving percent increase and percent decrease, and financial literacy problems.
Texas Essential
Knowledge and Skills
The student is expected to:
Mathematical Processes
7.1.A
Apply mathematics to problems arising in everyday life, society, and the workplace.
ADDITIONAL EXAMPLE 1
Georgio is building a patio. He estimates that he
can install 8 square feet of paver bricks every
quarter hour. How many square feet does Georgio
install per hour? 32
ADDITIONAL EXAMPLE 2
Two water heater tanks are leaking. Tank A has
leaked
of a gallon in
minute, and Tank B
has leaked
of a gallon in
minute. Which
tank is leaking faster? Tank B
2.1 LESSON QUIZ
7.4.B
1. Jorge’s printer can print 24 pages in 15
minutes. How many pages can it print in
hour? in 1 hour?
72 pages; 96 pages
2. Richard estimates that he can apply fertilizer
to 4,485 square feet of grass in hour. How
many square feet of grass can Richard
fertilize per hour?
5,980 square feet
3. Elle wanted to order candy online. Company
A is offering
pounds of chocolate for
$32.50, while Company B is offering
pounds of the same chocolate for $35.00.
Which company is offering the lowest price
per pound?
Company B
The population density of a state is the average
number of people per square mile. Write the
population densities of each state. Round your
answers to the nearest person per square mile.
Then rank the states from least population
density to greatest population density.
[Source: 2010.census.gov/2010census]
New Mexico, Utah, Oklahoma, Arizona, Texas
How do you find and use unit rates?
To find a unit rate, divide the numerator of the
rate by the denominator. To compare rates with
the same units, find and compare the unit rates.