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?

Back

Rate of change = (Change in value) / (Change in time) or (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).

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 the slope of a line?

Back

The slope of a line is the rate of change of the line, calculated as the rise over run (change in y over change in x).

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, which is the rate of change.

Front

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

Back

The rate of change is 3.

Front

If a line has a slope of -1/4, what does this mean?

Back

It means that for every 4 units you move to the right on the x-axis, the line moves down 1 unit on the y-axis.

Front

What is the rate of change in the equation y = -4x - 5?

Back

The rate of change is -4.

Front

How can you interpret a rate of change of $20 each week?

Back

It means that for every week that passes, the quantity increases by $20.