Rate of Change

Front

What is the definition of rate of change?

Back

Rate of change is a measure of how much a quantity changes in relation to another quantity. It is often expressed as the change in the dependent variable divided by the change in the independent variable.

Front

What is the formula for calculating the rate of change?

Back

Front

If Pete's height increased from 40 inches to 48 inches between the ages of 3 and 5, what is the rate of change?

Back

The rate of change is 4 inches per year.

Front

What does a rate of change of 0 indicate about a function?

Back

A rate of change of 0 indicates that the function is constant; there is no change in the dependent variable as the independent variable changes.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as the independent variable increases, the dependent variable decreases.

Front

If the points (3, 6) and (5, 6) are connected, what is the rate of change?

Back

The rate of change is 0, indicating a horizontal line.

Front

What is a non-linear rate of change?

Back

A non-linear rate of change occurs when the change in the dependent variable is not constant as the independent variable changes, resulting in a curve rather than a straight line.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change in a real-world context, such as speed, growth rate, or any other measurable change over time.