Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 659: 62b

Answer

The model is correct to one significant digit.

Work Step by Step

For $2020$ ($120$ years after 1900,) $t=1200$. Inserting $t=1200$ in the model obtained in part a, $P(120)=1.921\ln(120)-7.311\approx 1.886$ and when we compare it to $2.1$, the two values round to the same whole, $P(120)\approx 2,$ and $2.1\approx 2.$ The model is correct to one significant digit.
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