Comparing Rates

Front

What is a rate of change?

Back

A rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a fraction or ratio.

Front

How do you compare rates of change?

Back

To compare rates of change, convert them to a common denominator or decimal form to see which is greater.

Front

What does a greater rate of change indicate?

Back

A greater rate of change indicates that a quantity is increasing or decreasing more rapidly compared to another quantity.

Front

If Smith has a rate of change of 5/4 and Harmon has 7/2, who has the greater rate of change?

Back

Harmon has the greater rate of change with 7/2.

Front

What is the rate of change for CJ if he has a rate of 13/2?

Back

CJ's rate of change is 13/2.

Front

If a friend runs at a pace represented by the equation y = 6x, what is the rate of change?

Back

The rate of change is 6 miles per hour.

Front

Who runs faster if Jason runs at 7 miles per hour and his friend runs at 6 miles per hour?

Back

Jason runs faster at a pace of 7 miles per hour.

Front

What is the rate of change for a constant speed?

Back

The rate of change for a constant speed is the same over time.

Front

If two people have the same rate of change, what does that mean?

Back

It means they are changing their quantities at the same rate.

Front

How can you express a rate of change as a fraction?

Back

A rate of change can be expressed as the change in the dependent variable over the change in the independent variable.