8. A population of ducks grew from 420 to 8000 in 6 years. If the population growth is linear, what was its annual rate of growth?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 12CC
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8. A population of ducks grew from 420 to 8000 in 6 years.
If the population growth is linear, what was its annual rate of growth?
If the population growth is exponential, what was its annual rate of growth?
9. A culture grows continuously at a rate of 6% per day. If there were 500
organisms initially, write an exponential function that models the growth.
Function
How many organisms will there be in 8 days?
10. A population is declining at a continuous rate of 3% per day. If there were 20 in
the population originally, write an exponential function that models the decay.
Function
What will the population be in 8 days?
Transcribed Image Text:8. A population of ducks grew from 420 to 8000 in 6 years. If the population growth is linear, what was its annual rate of growth? If the population growth is exponential, what was its annual rate of growth? 9. A culture grows continuously at a rate of 6% per day. If there were 500 organisms initially, write an exponential function that models the growth. Function How many organisms will there be in 8 days? 10. A population is declining at a continuous rate of 3% per day. If there were 20 in the population originally, write an exponential function that models the decay. Function What will the population be in 8 days?
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