The population of a certain state (in thousands) from 1990 (t = 0) to 2000 (t = 10) is modeled by the polynomial p(t) = -0.29t² + 100t+7681. a. Determine the average growth rate from 1990 to 2000. b. What was the growth rate for this state in 1994 (t = 4) and 2000 (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 1990 to 2000?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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The population of a certain state (in thousands) from 1990 (t = 0) to 2000 (t = 10) is modeled by the polynomial p(t) = -0.29t² + 100t + 7681.
a. Determine the average growth rate from 1990 to 2000.
b. What was the growth rate for this state in 1994 (t=4) and 2000 (t = 10)?
c. Use a graphing utility to graph p' for 0≤t≤ 10. What does this graph tell you about population growth in this state during the period of time from
1990 to 2000?
Transcribed Image Text:The population of a certain state (in thousands) from 1990 (t = 0) to 2000 (t = 10) is modeled by the polynomial p(t) = -0.29t² + 100t + 7681. a. Determine the average growth rate from 1990 to 2000. b. What was the growth rate for this state in 1994 (t=4) and 2000 (t = 10)? c. Use a graphing utility to graph p' for 0≤t≤ 10. What does this graph tell you about population growth in this state during the period of time from 1990 to 2000?
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