Rate of Change in Tables and Graphs

Front

What is the definition of 'Rate of Change'?

Back

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

Front

What does it mean for a table to be linear?

Back

A linear table shows a constant rate of change, meaning the differences between consecutive values are the same.

Front

What does it mean for a graph to be non-linear?

Back

A non-linear graph does not have a constant rate of change; the slope varies at different points.

Front

How do you determine the rate of change from a table?

Back

To find the rate of change, calculate the difference in the dependent variable divided by the difference in the independent variable.

Front

What is an example of a linear relationship in a table?

Back

A table where the values increase by the same amount each time, such as (1, 2), (2, 4), (3, 6) where the rate of change is 2.

Front

What is an example of a non-linear relationship in a graph?

Back

A graph that curves, such as a parabola, where the rate of change is not constant.

Front

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

Back

Slope (m) = (change in y) / (change in x).

Front

What does a slope of 0 indicate in a graph?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the dependent variable as the independent variable changes.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.