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Concept

Rate

A rate is a ratio that compares two quantities measured in different units. For example, a certain species of bamboo grows 27 feet in height in 2 years. Then, 27ft2years is its rate of growth. Here are some other possible examples of rate.

Rates might be most useful when finding how much of something is per 1 unit of something else. Such a comparison is called a unit rate. If the given rates are not already unit rates, they can be determined by some calculations. Dive deeper into two of the previous examples.

Scenario	Rate	Unit Rate
Kriz finds 20 Pokémon every 10 days.	20 Pokémon per 10 days, 10 Pokémon per 5 days	2 Pokémon per 1 day, 730 Pokémon per 1 year
At a party, 42 candies were eaten by 6 kids.	42 candies per 6 kids, 21 candies per 3 kids	7 candies per 1 kid

Showing Our Work

Finding the Unit Rate

Write the rate of the Pokémon scenario as a fraction to determine its unit rate. 20Pokémon/10days Next, divide both units by the denominator of the fraction to have 1 day on the denominator. In this case, divide both units by 10. 20÷ 10Pokémon/10÷ 10days ⇔ 2Pokémon/1day Since a year has 365 days, multiply this unit rate per day by 365 to find the unit rate per year. ccc 2* 365Pokémon/1* 365day & ⇔ &730Pokémon/365days [1.5em] & &⇕ [1em] & &730Pokémon/1year The unit rate for the candy per kid can be determined in a similar fashion. 42÷ 6candies/6÷ 6kid ⇔ 7candies/1kid

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