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 average rate of change?

Back

Average rate of change = (Change in value) / (Change in time) or (y2 - y1) / (x2 - x1).

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates a linear relationship between two variables, represented by a straight line on a graph.

Front

What is a non-linear rate of change?

Back

A non-linear rate of change indicates that the relationship between two variables is not constant, resulting in a curve on a graph.

Front

If a line has a slope of 2, what does that mean in terms of rate of change?

Back

It means that for every 1 unit increase in the x-value, the y-value increases by 2 units.

Front

What is the significance of the slope in a graph?

Back

The slope represents the rate of change between the two variables plotted on the graph.

Front

How can you determine which company has a greater rate of change from a graph?

Back

The company with the steeper slope on the graph has a greater rate of change.

Front

What is the average rate of change of a function over an interval?

Back

It is the change in the function's value divided by the change in the input value over that interval.

Front

If Pete's height increased from 3 to 5 years old by 8 inches, what is the average rate of change?

Back

4 inches per year.

Front

How do you interpret a rate of change of 75 feet/hour?

Back

It means that for every hour, the altitude increases by 75 feet.