5.1 – Rates and Unit Rates
Objective…
Part A: Meaning of rates

Rate: ___________________________________________________________
Examples:

Unit Rate: _______________________________________________________
Examples:

Symbol / : _______________________________________________________
State whether each statement is expressed as a unit rate…
1)
A monkey plucked 4 coconuts per minute.
Yes
No
2)
Mary paid $2 for a bottle of orange juice.
Yes
No
3)
A basketball team scored 294 points in 6 games.
Yes
No
4)
Double reads 3 books in a week.
Yes
No
Part B: Express and compute unit rates in terms of time and other quantities
Nick fills 24 bottles in 8 minutes. At what rate are the bottles being filled with
water?
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5.1 – Rates and Unit Rates
A photocopy machine can print 405 copies in 9 minutes. What is the rate at which
the machine prints the copies?
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Part C: Find a unit rate
Mathematical procedure…
_______________ = __________________ ÷ ________________________

A school buys 2.75 acres of land for a new athletic field. What is the cost per acre
if the school pays $275,000 for the land?

A sports center buys 1.25 acres of land for a new swimming complex. What is the
cost per acre if the sports center pays $1,000,000 for the land?

A few years ago, when the fuel tank is Sally’s car was completely empty, she paid
$63 to fill the tank with 22.5 gallons of gasoline. What was the cost per gallon?
5.1 – Rates and Unit Rates
Part D: Find and compare unit rates
The table shows the costs of some fruits purchased at a farm stand.
1)

Which fruit costs the most per pound?
Mango: ___________

Pear: _____________

Orange: __________
The table shows the costs of some food items Billy bought from a supermarket.
2)

Which type of food costs the most per pound?
Potatoes: _________

Carrots: __________

Onions: ___________
Part E: Find the speed or rate of travel of a moving object

1)
Speed Formula: ___________________________________
A car traveled a distance of 120 miles in 2 hours. Find the speed of the car.
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5.1 – Rates and Unit Rates
2)
Joyce is climbing up a steep trail. She climbs 1 mile in ½ hour. Find her climbing
speed in miles per hour.
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3)
A truck traveled a distance of 280 kilometers in 4 hours. Find the speed of a
truck.
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4)
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A car travels 5 kilometer in ½ minute. Find the speed of the car in kilometers per
minute.
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