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 quantity divided by the change in another quantity, typically expressed as change of y / change of x.

Front

What does a steeper slope on a graph indicate about the rate of change?

Back

A steeper slope indicates a greater rate of change, meaning the quantity is changing more rapidly.

Front

If a car travels 150 miles in 3 hours, what is its average speed?

Back

50 miles per hour.

Front

What is the formula for calculating average speed?

Back

Average speed = total distance / total time.

Front

If the temperature increases from 30°F to 50°F over 4 hours, what is the rate of change in temperature?

Back

5°F per hour.

Front

Which section of a distance-time graph indicates the object is at rest?

Back

A horizontal line indicates the object is at rest.

Front

If a person runs 10 miles in 2 hours, what is their average rate of change in speed?

Back

5 miles per hour.

Front

What does it mean if the rate of change is negative?

Back

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

Front

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

Back

Rate of change can be calculated by finding the slope of the line connecting two points on the graph.

Front

What is the rate of change if a plant grows from 2 inches to 10 inches in 4 weeks?

Back

2 inches per week.