The population of a certain state (in thousands) from 1994 (t = 0) to 2004 (t = 10) is modeled by the polynomial p(t) = -0.39t² +113t+7293. a. Determine the average growth rate from 1994 to 2004. b. What was the growth rate for this state in 1997 (t=3) and 2004 (t = 10)? c. Use a graphing utility to graph p' for 0 st≤ 10. What does this graph tell you about population growth in this state during the period of time from 1994 to 2004? a. The average growth rate from 1994 to 2004 is thousand people/year. (Type an integer or a decimal.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
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The population of a certain state (in thousands) from 1994 (t = 0) to 2004 (t = 10) is modeled by the polynomial
p(t) = -0.39t² +113t+7293.
a. Determine the average growth rate from 1994 to 2004.
b. What was the growth rate for this state in 1997 (t=3) and 2004 (t = 10)?
c. Use a graphing utility to graph p' for 0 st≤ 10. What does this graph tell you about population growth in this
state during the period of time from 1994 to 2004?
a. The average growth rate from 1994 to 2004 is thousand people/year.
(Type an integer or a decimal.)
Transcribed Image Text:The population of a certain state (in thousands) from 1994 (t = 0) to 2004 (t = 10) is modeled by the polynomial p(t) = -0.39t² +113t+7293. a. Determine the average growth rate from 1994 to 2004. b. What was the growth rate for this state in 1997 (t=3) and 2004 (t = 10)? c. Use a graphing utility to graph p' for 0 st≤ 10. What does this graph tell you about population growth in this state during the period of time from 1994 to 2004? a. The average growth rate from 1994 to 2004 is thousand people/year. (Type an integer or a decimal.)
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