rate of change

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 a slope.

To calculate the rate of change from a table, find the difference in the dependent variable (y) and divide it by the difference in the independent variable (x). Formula: Rate of Change = (Change in y) / (Change in x).

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

A constant rate of change appears as a straight line on a graph, indicating a linear relationship between the variables.

A non-linear rate of change occurs when the relationship between variables is not constant, resulting in a curve on a graph.

It means that for every unit increase in the independent variable, the dependent variable decreases by 3 units.

For example, if a bank account balance decreases by $2.14 for each lunch purchased, the rate of change is -$2.14 per lunch.

The slope (rate of change) is calculated using the formula: Slope = (y2 - y1) / (x2 - x1).

The slope indicates the steepness of the line and the direction of the relationship between the variables.

A slope of 1 means that for every unit increase in the independent variable, the dependent variable increases by 1 unit.