Rate of Change

Front

What is the rate of change?

Back

The rate of change is a measure of how a quantity changes in relation to another quantity, often expressed as a ratio or a fraction.

Front

How do you calculate the average rate of change?

Back

The average rate of change can be calculated using the formula: (Change in value) / (Change in time).

Front

What is an example of rate of change in real life?

Back

An example is the speed of a car, which can be measured in miles per hour.

Front

If a plant grows 10 inches in 5 weeks, what is its average rate of growth per week?

Back

2 inches per week.

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.

Front

What is the unit of measurement for rate of change?

Back

Units can vary, but common examples include cm/hour, words/minute, or inches/year.

Front

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

Back

60 miles per hour.

Front

What is the average rate of change of a function between two points?

Back

It is the slope of the line connecting the two points on the graph of the function.

Front

How can you represent rate of change graphically?

Back

Rate of change can be represented by the slope of a line on a graph.

Front

What is the average rate of change of a person's height from age 10 to age 15 if they grow 15 inches?

Back

3 inches per year.