Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.1 - Exponential Functions - Exercise Set - Page 449: 65


a. $574$ million. b. $1148$ million. c. $2295$ million. d. $4590$ million. e. doubles every 27 years.

Work Step by Step

a. Given the function $f(x)=574(1.026)^x$, let $x=0$; we have $f(0)=574(1.026)^0=574$ millions. b. Let $x=27$; we have $f(27)=574(1.026)^{27}\approx1148$ million. c. For year 2029, $x=2028-1974=54$; we have $f(54)=574(1.026)^{54}\approx2295$ million. d. For year 2055, $x=2055-1974=81$; we have $f(81)=574(1.026)^{81}\approx4590$ million. e. Based on the above results, it appears that India's population will double every 27 years.
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