Average Rate of Change

Calculate the average rate of change from 0 to 2 seconds if the distance traveled is 5 feet.

• 1.5 feet per second

• 2.0 feet per second

• 2.5 feet per second

• 3.0 feet per second

What is the average rate of change of a linear function?

• It varies depending on the interval.

• It is zero for all intervals.

• It is constant across all intervals.

• It increases as the function progresses.

Find the average rate of change from 20 to 40 minutes if the gallons used changes from 10 to 0.

• -0.5 gallons per minute

• 0.5 gallons per minute

• -1 gallon per minute

• 1 gallon per minute

If the average rate of change is 3, what does that mean in terms of function values?

• It means that for every unit increase in the input, the output increases by 3 units.

• It indicates that the function is constant and does not change.

• It suggests that the output decreases by 3 units for every unit increase in the input.

• It means that the output increases by 1 unit for every 3 units increase in the input.

What is the average rate of change of the function f(x) = x^2 from x = 1 to x = 3?

• 2

• 3

• 4

• 5

How can you interpret the average rate of change in a real-world context?

• It can represent a fixed quantity over time.

• It can represent speed, growth rate, or any change in quantity over time.

• It is always negative in real-world scenarios.

• It is irrelevant in practical applications.

If a function has an average rate of change of -2, what can you infer about its graph?

• The graph is sloping downwards over the interval.

• The graph is sloping upwards over the interval.

• The graph is constant over the interval.

• The graph has no slope over the interval.

What is the significance of the interval in average rate of change?

• The interval determines the specific input values over which the change is measured.

• The interval affects the overall trend of the data points.

• The interval is irrelevant to the average rate of change.

• The interval only matters for linear functions.

Calculate the average rate of change from January 8 to January 11 if the snowfall changes from 6 inches to 8 inches.

• 1 inch per day

• 2/3 inches per day

• 1/2 inches per day

• 3/4 inches per day

If a function's average rate of change is zero, what does that mean?

• It means that the function's value does not change over the interval.

• It means that the function is increasing steadily.

• It means that the function is decreasing steadily.

• It means that the function has a maximum value.