   Chapter 10.4, Problem 66E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Is it possible for a company’s revenue to have a larger 2-year average rate of change than either of the 1-year aver- age rates of change? (If not, explain why with the aid of a graph; if so, illustrate with an example.)

To determine

The possibility for a revenue of a company showing larger average rate of change for 2 year than either of the 1 year average rates of change.

Explanation

When function is increasing or rising the slope of the function is positive and greatest where the curve is more slanted whereas when the function is decreasing or falling its slope is negative and it has the least value where the curve is the steepest.

The average rate of change of f is defined by slope=ΔfΔt

Where slope is change in function with respect to change in time t.

For example, consider the graph showing slope revenue for 2 year.

Evaluate the slope of the revenue PR from t=0 to t=2.

slope of PR=876920=182=9

Evaluate the slope for 1 year that is from t=0 to t=1

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