Rates from Graphs

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 'x per 1 unit'.

Front

How do you calculate a unit rate from a graph?

Back

To calculate a unit rate from a graph, identify the two quantities being compared, find their values at a specific point, and divide the value of one quantity by the value of the other.

Front

What is the formula for calculating a unit rate?

Back

The formula for calculating a unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

If a car travels 180 miles in 6 hours, what is the unit rate in miles per hour?

Back

The unit rate is 30 miles per hour, calculated as 180 miles ÷ 6 hours.

Front

What does the slope of a line on a graph represent in terms of rates?

Back

The slope of a line on a graph represents the rate of change between the two quantities being compared.

Front

Why is it important to find the unit rate?

Back

Finding the unit rate allows for easier comparison between different rates and helps in making informed decisions based on those comparisons.

Front

What is the significance of the point on the graph where the line is steepest?

Back

The steepest point on the graph indicates the highest rate of change between the two quantities.

Front

How can you identify the unit rate on a graph visually?

Back

You can identify the unit rate on a graph visually by looking for the slope of the line, which represents the ratio of the vertical change to the horizontal change.

Front

What is the unit rate if a person reads 90 pages in 3 hours?

Back

The unit rate is 30 pages per hour, calculated as 90 pages ÷ 3 hours.

Front

What does a horizontal line on a graph indicate about the rate?

Back

A horizontal line on a graph indicates that there is no change in the dependent variable as the independent variable changes, meaning the rate is zero.