Rate
A rate is a ratio that compares two quantities measured in different units. It is a special type of ratio because it involves units. Rates are used in everyday life to describe how one quantity changes in relation to another quantity.
Calculating Rate
To calculate the rate of a change, you divide the change in one quantity by the corresponding change in another quantity. The formula for rate is:
Rate = Change in quantity 1 / Change in quantity 2
Example
If you travel 300 miles in 5 hours, the rate at which you are traveling is:
Rate = 300 miles / 5 hours = 60 miles per hour
Units of Rate
When expressing a rate, it is important to include the units. In the previous example, the rate is 60 miles per hour, where "miles" is the unit of distance and "hours" is the unit of time.
Study Guide
- What is a rate?
- How do you calculate the rate of a change?
- Why is it important to include units when expressing a rate?
- Practice Problems:
- If a car travels 150 miles in 3 hours, what is the rate of travel?
- A recipe calls for 2 cups of sugar for every 3 cups of flour. What is the rate of sugar to flour?
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Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Data Analysis and Probability (NCTM)
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.
Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population.
Develop and evaluate inferences and predictions that are based on data.
Use conjectures to formulate new questions and plan new studies to answer them.
Understand and apply basic concepts of probability
Use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations.