Interpreting Unit Rate on a Graph

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or dollars per item.

Front

How do you find the unit rate from a total amount?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 6 ounces cost $3.60, the unit rate is $3.60 ÷ 6 = $0.60 per ounce.

Front

What does the slope of a graph represent in terms of unit rate?

Back

The slope of a graph represents the unit rate, showing how much one quantity changes in relation to another quantity.

Front

If a hose discharges water at 45 gallons per minute, what is the unit rate?

Back

The unit rate is 45 gallons per minute.

Front

A bookshelf has 15 books with a total width of 12 inches. What is the width of each book?

Back

The width of each book is 12 inches ÷ 15 books = 0.8 inches per book.

Front

How do you interpret the slope of a graph showing distance over time?

Back

The slope indicates the speed or rate of travel, measured in distance per unit of time, such as miles per hour.

Front

What is the unit rate for 6 mini cakes costing $12?

Back

The unit rate is $12 ÷ 6 cakes = $2 per cake.

Front

If a bus travels 25 miles in 30 minutes, what is the unit rate in miles per minute?

Back

The unit rate is 25 miles ÷ 30 minutes = 0.833 miles per minute.

Front

What does a steeper slope on a graph indicate about the unit rate?

Back

A steeper slope indicates a higher unit rate, meaning a greater change in the dependent variable for each unit change in the independent variable.

Front

How can you represent a unit rate on a graph?

Back

A unit rate can be represented as the slope of a line on a graph, where the x-axis represents one quantity and the y-axis represents another.