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Population growth in Georgia The population of the state of Georgia (in thousands) from $1995(t=0)$ to $2005(t=10)$ is modeled by the polynomial $p(t)=-0.27 t^{2}+101 t+7055$a. Determine the average growth rate from 1995 to $2005 .$b. What was the growth rate for Georgia in $1997(t=2)$ and $2005(t=10) ?$c. Use a graphing utility to graph $p^{\prime},$ for $0 \leq t \leq 10 .$ What does this graph tell you about population growth in Georgia during the period of time from 1995 to $2005 ?$
a. 98,300 people/yearb. 99,920 people / year in 1997 95,600 people / year in 2005 c. $p^{\prime}(t)=-0.54 t+101 ;$ population increased, growth rate is positive but decreasing.
Calculus 1 / AB
Chapter 3
Derivatives
Section 5
Derivatives as Rates of Change
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University of Michigan - Ann Arbor
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Lectures
03:09
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31:55
In mathematics, a function…
01:03
Suppose that the number of…
04:10
The rural and urban popula…
01:17
Modeling Data The table sh…
02:11
Suppose that the birthrate…
0:00
Population growth of the U…
01:22
World population is approx…
05:07
Population Growth Since 19…
04:27
The median price of a new …
01:31
Population Growth Using 20…
04:34
Population growth in Washi…
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