Precalculus (6th Edition) Blitzer

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

Chapter 3 - Section 3.5 - Exponential Growth and Decay; Modeling Data - Exercise Set - Page 505: 5

Answer

In 2030

Work Step by Step

Given the model $ A=1173.1e^{0.008t}$, we solve for t when $ A=1377$ $ 1377=1173.1e^{0.008t}\qquad $... /$\div $1173.1 $\displaystyle \frac{1377}{1173.1}=e^{0.008t}\qquad $... $/\ln(...)$ $\displaystyle \ln\frac{1377}{1173.1}=0.008t\qquad $... /$\div 0.008$ $ t=\displaystyle \frac{\ln\frac{1377}{1173.1}}{0.008}\approx 20.03$ years By this model, India will reach $1377$ million in 2030 (20 years from 2010)
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