Rate of Change

Front

What is the definition of rate of change?

Back

Rate of change is defined as the change in the value of a variable divided by the change in another variable, typically expressed as change of y / change of x.

Front

What is the formula to calculate average rate of change?

Back

Average rate of change = (change in y) / (change in x) over a specified interval.

Front

If a car travels 60 meters in 3 seconds, what is the rate of change in speed?

Back

Rate of change = 60 m / 3 s = 20 m/s.

Front

What does a rate of change of 0 m/s indicate?

Back

A rate of change of 0 m/s indicates that there is no change in position over time; the object is at rest.

Front

How do you find the rate of change from a graph?

Back

The rate of change can be found by calculating the slope of the line on the graph, which is the rise (change in y) over the run (change in x).

Front

What is the average rate of change if the number of fish caught increases from 20 to 80 over 4 weeks?

Back

Average rate of change = (80 - 20) / (4 - 0) = 60 / 4 = 15 fish per week.

Front

What is the rate of change if the temperature increases from 15°C to 25°C in 5 hours?

Back

Rate of change = (25 - 15) / (5 - 0) = 10 / 5 = 2°C per hour.

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that the value of the variable is increasing over time.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that the value of the variable is decreasing over time.

Front

If a plant grows from 10 cm to 30 cm in 4 weeks, what is the rate of growth?

Back

Rate of growth = (30 cm - 10 cm) / (4 weeks) = 20 cm / 4 = 5 cm per week.