Rate of Change

The rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a ratio or a rate per unit of time.

Rate of change = (Change in value) / (Change in time) or (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).

A positive rate of change indicates that the quantity is increasing over time.

A negative rate of change indicates that the quantity is decreasing over time.

The rate of change is 60 miles per hour.

The rate of change is $100 per month.

The rate of change is -10°F per hour.

In a linear function, the rate of change is constant and is represented by the slope of the line.

Rate of change can be represented as the slope of a line on a graph, where the x-axis represents time and the y-axis represents the quantity.

The slope indicates the rate of change between two variables; a steeper slope means a greater rate of change.