Rate of Change

Front

What is the definition of Rate of Change?

Back

Rate of Change is a measure of how much a quantity changes in relation to another quantity, often expressed as a ratio or a slope.

Front

How do you calculate the average rate of change between two points?

Back

Average Rate of Change = (Value at second point - Value at first point) / (Second point - First point).

Front

What does a positive rate of change indicate?

Back

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

Front

What does a negative rate of change indicate?

Back

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

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount over equal intervals.

Front

What is a non-linear rate of change?

Back

A non-linear rate of change means that the quantity does not change by the same amount over equal intervals, resulting in a curve.

Front

If Leo burned 250 calories in 40 minutes and 400 calories in 70 minutes, what is the average rate of change?

Back

Average Rate of Change = (400 - 250) / (70 - 40) = 5 calories per minute.

Front

What is the slope of a line in relation to rate of change?

Back

The slope of a line represents the rate of change; it is calculated as the rise over run.

Front

How can you interpret a slope of zero?

Back

A slope of zero indicates that there is no change in the quantity; it is constant.

Front

What is the significance of the units in rate of change?

Back

Units in rate of change provide context, indicating how one quantity changes in relation to another (e.g., gallons per hour, fish per week).