The projected population of a certain ethnic group (in millions) can be approximated by p(t) = 35.96(1.012) where t=0 corresponds to 2000 and 0≤t≤ 50. (a) Estimate the population of this group for the year 2030. (b) What is the instantaneous rate of change of the population when t = 30? (c) Interpret your answer to part (b).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
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q23-HWK23. Do part A&B&C

The projected population of a certain ethnic group (in millions) can be approximated by p(t) = 35.96(1.012) where t = 0
corresponds to 2000 and 0≤t≤ 50.
(a) Estimate the population of this group for the year 2030.
(b) What is the instantaneous rate of change of the population when t = 30?
(c) Interpret your answer to part (b).
million people.
(a) The population in 2030 will be
(Round to three decimal places as needed.)
Transcribed Image Text:The projected population of a certain ethnic group (in millions) can be approximated by p(t) = 35.96(1.012) where t = 0 corresponds to 2000 and 0≤t≤ 50. (a) Estimate the population of this group for the year 2030. (b) What is the instantaneous rate of change of the population when t = 30? (c) Interpret your answer to part (b). million people. (a) The population in 2030 will be (Round to three decimal places as needed.)
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