Average Rate of Change

Front

What is the formula for Average Rate of Change (ARC)?

Back

The formula for Average Rate of Change (ARC) is (y₂ - y₁) / (x₂ - x₁).

Front

How do you determine the slope of a line?

Back

The slope of a line is determined by the formula m = (y₂ - y₁) / (x₂ - x₁).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

If Pete's height increased from 36 inches to 44 inches between the ages of 3 and 5, what is the average rate of change?

Back

The average rate of change is 4 inches per year.

Front

What is the average rate of change if a car travels from 20 gallons to 0 gallons in 40 minutes?

Back

The average rate of change is -0.5 gallons per minute.

Front

What does a negative average rate of change indicate?

Back

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

Front

How can you find the slope of a line given two points?

Back

To find the slope, use the formula m = (y₂ - y₁) / (x₂ - x₁) with the coordinates of the two points.

Front

What is the significance of the Average Rate of Change in real-world applications?

Back

The Average Rate of Change helps to understand how a quantity changes over time or in relation to another variable.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2.

Front

What is the Average Rate of Change between the points (1, 2) and (3, 6)?

Back

The Average Rate of Change is 2.