An endangered species of bird has a population that is modeled by the exponential equation A = 1500e^kt, where A (in hundreds) represents the current population of the birds t years from now. a. Scientists recently discovered the k-value, or rate of the bird population change, to be ^-0.23 Write a function that gives the current population. b. Tell whether your function in part (a) represents exponential growth or exponential decay. c. What will the population be 6 years from now?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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An endangered species of bird has a population that is modeled by the exponential equation

A = 1500e^kt, where A (in hundreds) represents the current population of the birds t years
from now.         

a. Scientists recently discovered the k-value, or rate of the bird population change, to be ^-0.23

Write a function that gives the current population.      

b. Tell whether your function in part (a) represents exponential growth or exponential decay.

c. What will the population be 6 years from now?

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