Rate of Change

Front

What is the definition of 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 a rate per unit of time.

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 the quantity is increasing over time.

Front

What does a negative rate of change indicate?

Back

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

Front

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

Back

The rate of change is 60 miles per hour.

Front

What is the rate of change for a bank account that increases by $100 every month?

Back

The rate of change is $100 per month.

Front

If the temperature drops from 70°F to 50°F over 2 hours, what is the rate of change?

Back

The rate of change is -10°F per hour.

Front

What is the rate of change in a linear function?

Back

In a linear function, the rate of change is constant and is represented by the slope of the line.

Front

How can you represent rate of change graphically?

Back

Rate of change can be represented as the slope of a line on a graph, where the x-axis represents time and the y-axis represents the quantity.

Front

What is the significance of the slope in a graph?

Back

The slope indicates the rate of change between two variables; a steeper slope means a greater rate of change.