Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 2 - Describing Change: Rates - 2.2 Activities - Page 149: 11

Answer

a. (4, 9250) b. 187.5 thousand employees per year c. 1.99% per year

Work Step by Step

a. Find a point on the tangent line for estimation. b. Calculate the slope using rate of change formula $\frac{y_{1}-{y}_{2}}{x_{1}-{x}_{2}}$ to get the number of employees per year. c. Calculate the percentage rate of change at the point dividing the rate of change at a point by the value of the function at that point and then multiplying by 100%.
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