Rates & Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often with different units, such as speed (miles per hour) or heart rate (beats per minute).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. It expresses 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 first quantity by the second quantity. For example, if you travel 150 miles in 3 hours, the unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the formula for finding a proportion?

Back

A proportion states that two ratios are equal. The formula is a/b = c/d, where a, b, c, and d are numbers.

Front

How do you solve for a missing value in a proportion?

Back

Cross-multiply the known values and then divide to find the missing value. For example, in 90/6 = d/15, cross-multiply to get 90 * 15 = 6 * d, then solve for d.

Front

What is the heart rate of a person?

Back

Heart rate is the number of times the heart beats in a minute, typically measured in beats per minute (bpm).

Front

If a person has a heart rate of 600 beats in 5 minutes, what is their heart rate in beats per minute?

Back

To find the heart rate in bpm, divide the total beats by the total minutes and multiply by 60. (600 beats ÷ 5 minutes) * 60 = 720 bpm.

Front

What is the unit rate for 90 miles in 12 hours?

Back

The unit rate is 90 miles ÷ 12 hours = 7.5 miles per hour.

Front

How do you compare two rates to determine which is greater?

Back

Convert both rates to unit rates and compare the values. The higher unit rate indicates the greater rate.

Front

If Willa spends 600 minutes on the phone in 15 days, how many minutes does she spend per day?

Back

To find the daily rate, divide the total minutes by the number of days: 600 minutes ÷ 15 days = 40 minutes per day.