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 represented as a slope in a graph.

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in value) / (Change in time) or (Change in y) / (Change in x).

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates a linear relationship between two variables, meaning the slope of the line is the same throughout.

Front

What does a non-constant rate of change indicate?

Back

A non-constant rate of change indicates a non-linear relationship, where the slope of the line varies.

Front

If a man descends 30 feet per minute, what is the rate of change?

Back

-30 feet per minute (the negative sign indicates a decrease in height).

Front

What is the rate of change in the equation y = 2x + 3?

Back

The rate of change is 2, which is the slope of the line.

Front

What is the significance of the slope in a graph?

Back

The slope represents the rate of change between the x and y variables, indicating how steep the line is.

Front

If the rate of change is 1/2 dollar per ticket, what does this mean?

Back

It means for every ticket sold, the revenue increases by 1/2 dollar.

Front

What is the rate of change for a graph that rises 40 units over 1 unit of time?

Back

The rate of change is 40 units per time unit.

Front

How do you interpret a negative rate of change?

Back

A negative rate of change indicates a decrease in the value of the dependent variable as the independent variable increases.