Rate of Change Review

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, often expressed as a ratio.

Front

How do you calculate the rate of change between two points (x1, y1) and (x2, y2)?

Back

Rate of Change = (y2 - y1) / (x2 - x1)

Front

Find the rate of change between the points (-2, 10) and (4, 14).

Back

2/3

Front

What is the rate of change if a quantity increases by 30 units over 60 units of time?

Back

Rate of Change = 30/60 = 1/2 or 0.5

Front

If Brian's rate of change is 30, what does this mean?

Back

It means that for every unit of time, Brian's quantity increases by 30 units.

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that the quantity is increasing.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that the quantity is decreasing.

Front

Find the rate of change for the following points: (1, 3) and (2, 7).

Back

Rate of Change = (7 - 3) / (2 - 1) = 4.

Front

What is the rate of change for a line that rises 20 units for every 5 units it runs?

Back

Rate of Change = 20/5 = 4.

Front

What is the slope of a line with a rate of change of -3?

Back

The slope is -3, indicating a decrease.