Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.4 Rates of Change - Exercises - Page 131: 50

Answer

a) $7350$ $euros$ b) $26700$ $euros$ c) $F'(0.5)$ = $0.89$ Estimate income = $26700$ $euros$ which is less than the national average

Work Step by Step

a) $F'(0.4)A$ = $0.245\times30000$ = $7350$ $euros$ b) $\frac{F(0.6)-F(0.4)}{0.2}\times{A}$ = $\frac{0.423-0.245}{0.2}\times{30000}$ = $26700$ $euros$ c) $F'(0.5)$ = $\frac{F(0.6)-F(0.4)}{0.2}$ = $\frac{0.423-0.245}{0.2}$ = $0.89$ Estimate income $F'(0.5)A$ = $0.89\times30000$ = $26700$ $euros$ which is less than the national average
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