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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

In mathematics, precalculu…

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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