rate of change

Front

What is the rate of change?

Back

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.

Front

How do you calculate the rate of change from a table of values?

Back

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).

Front

What does a negative rate of change indicate?

Back

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

Front

What does a constant rate of change look like on a graph?

Back

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

Front

What is a non-linear rate of change?

Back

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

Front

If the rate of change is -3, what does this mean in a real-world context?

Back

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

Front

How can you represent the rate of change in a real-world scenario?

Back

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

Front

What is the formula for calculating the slope of a line?

Back

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

Front

What is the significance of the slope in a linear equation?

Back

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

Front

How do you interpret a slope of 1?

Back

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