Rate of Change from a Table

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 fraction or ratio.

Front

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

Back

To calculate the rate of change from a table, take the difference in the dependent variable (y) and divide it by the difference in the independent variable (x). Formula: Rate of Change = (y2 - y1) / (x2 - x1).

Front

What does a positive rate of change indicate?

Back

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

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 is a constant rate of change?

Back

A constant rate of change means that the change in the dependent variable is consistent for every unit change in the independent variable.

Front

If the rate of change is 2/3, what does this mean?

Back

This means that for every 3 units increase in the independent variable, the dependent variable increases by 2 units.

Front

What is the unit of measurement for rate of change?

Back

The unit of measurement for rate of change can vary depending on the context, such as dollars per hour, gallons per minute, etc.

Front

How can you represent rate of change graphically?

Back

Rate of change can be represented graphically as the slope of a line on a graph, where the x-axis represents the independent variable and the y-axis represents the dependent variable.

Front

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

Back

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

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates that there is no change in the dependent variable as the independent variable changes; the line is horizontal.