6 - 1HW Ratios, Rates and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per gallon.

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1, indicating how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the numerator by the denominator to find the amount per one unit.

Front

If a car travels 60 miles in 2 hours, what is the unit rate in miles per hour?

Back

30 miles per hour.

Front

Which is better: 10 apples for $5 or 15 apples for $8?

Back

15 apples for $8 is the better buy, as it costs less per apple.

Front

How do you find the equivalent rate of 6 miles per gallon?

Back

To find an equivalent rate, multiply both the numerator and denominator by the same number. For example, 6 miles per gallon is equivalent to 18 miles for 3 gallons.

Front

If Antonia can type 408 words in 4 minutes, how do you find her typing speed per minute?

Back

Divide the total words by the total minutes: 408 words ÷ 4 minutes = 102 words per minute.

Front

What is the formula to find distance when speed and time are known?

Back

Distance = Speed × Time.

Front

If Ernie travels 195 miles in 3 hours, what is his speed?

Back

Speed = Distance ÷ Time = 195 miles ÷ 3 hours = 65 miles per hour.