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 or 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 a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What is the average rate of change?

Back

The average rate of change is the total change in a quantity divided by the total time over which the change occurred.

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates that there is no change in the y-value as the x-value changes; the line is horizontal.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line where the x-value does not change, leading to division by zero.

Front

If a car travels 60 miles in 1 hour, what is its rate of change?

Back

The rate of change is 60 miles per hour.

Front

If the temperature drops from 30°C to 20°C over 2 hours, what is the rate of change?

Back

The rate of change is -5°C per hour.