Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.4 - Exponential Functions - 1.4 Exercises - Page 54: 35

Answer

$P = 1129.2019 \cdot (1.01693^t)$ According to the model, the estimate of the population in 1993 is $~~5381~million$ According to the model, the estimate of the population in 2020 is $~~8466~million$

Work Step by Step

When we input the data from the table from $t = 50$ to $t = 110$, the exponential regression function returns the following equation: $P = 1129.2019 \cdot (1.01693^t)$ We can estimate the population in 1993: $P = 1129.2019 \cdot (1.01693^t)$ $P = 1129.2019 \cdot 1.01693^{93}$ $P = 5381$ According to the model, the estimate of the population in 1993 is $~~5366~million$ We can estimate the population in 2020: $P = 1129.2019 \cdot (1.01693^t)$ $P = 1129.2019 \cdot (1.01693^{120})$ $P = 8466$ According to the model, the estimate of the population in 2020 is $~~8436~million$
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