Solution Found!
(a) Using Table 2.3, find the average rate of change in the worlds population, P
Chapter 2, Problem 7(choose chapter or problem)
(a) Using Table 2.3, find the average rate of change in the world’s population, P, between 1975 and 2010. \(^{3}\) Give units.
(b) If P = f(t) with t in years, estimate \(f^{\prime}(2010)\) and give units.
\(\begin{array}{l}
\text { Table } 2.3 \text { World population, in billions of people }\\
\begin{array}{c|c|c|c|c|c|c|c|c}
\hline \text { Year } & 1975 & 1980 & 1985 & 1990 & 1995 & 2000 & 2005 & 2010 \\
\hline \text { Population } & 4.08 & 4.45 & 4.84 & 5.27 & 5.68 & 6.07 & 6.45 & 6.89 \\
\hline
\end{array}
\end{array}\)
Questions & Answers
QUESTION:
(a) Using Table 2.3, find the average rate of change in the world’s population, P, between 1975 and 2010. \(^{3}\) Give units.
(b) If P = f(t) with t in years, estimate \(f^{\prime}(2010)\) and give units.
\(\begin{array}{l}
\text { Table } 2.3 \text { World population, in billions of people }\\
\begin{array}{c|c|c|c|c|c|c|c|c}
\hline \text { Year } & 1975 & 1980 & 1985 & 1990 & 1995 & 2000 & 2005 & 2010 \\
\hline \text { Population } & 4.08 & 4.45 & 4.84 & 5.27 & 5.68 & 6.07 & 6.45 & 6.89 \\
\hline
\end{array}
\end{array}\)
Step 1 of 4
(a) We are asked to find the average rate of change in the world’s population between 1975 and 2010. It isquite simple question if we understand the concept of average rate of change.Average rate of change is given as:Here, is the quantity that changes with time (which in here is the world’s population in billions.)