Finding Rate Of Change from Tables and Graphs

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

To calculate the rate of change from a table, find the difference in the y-values (output) and divide it by the difference in the x-values (input) between two points.

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

If a graph is increasing, the rate of change is positive.

If a graph is decreasing, the rate of change is negative.

Rate of Change = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).

To find the rate of change from a graph, select two points on the line, determine their coordinates, and apply the rate of change formula.

The slope of a graph represents the rate of change. A steeper slope indicates a greater rate of change.

A slope of zero means there is no change in the y-value as the x-value changes; the graph is horizontal.