A native plant species is being re-introduced into a protected site by a team of volunteers, in partnership with a local Indigenous nation. The tribe has relied on this plant for medicinal and cultural uses for millennia, and their relationship with the land ensures that the plant population will stabilize over time. The re-established population t days after the re-introduction project can be (roughly) modeled with the equation 60t+6000+3000e-004t+.4 P(t) = where P(t) gives an 10e.004t+.4 estimated count of the number of individual plants in the area. • Graph the population function using technology, for t > 0. What are some reasons the population might exhibit this behavior? • Use the graph to estimate how many plants of this species will be in the protected site after the population stabilizes.
A native plant species is being re-introduced into a protected site by a team of volunteers, in partnership with a local Indigenous nation. The tribe has relied on this plant for medicinal and cultural uses for millennia, and their relationship with the land ensures that the plant population will stabilize over time. The re-established population t days after the re-introduction project can be (roughly) modeled with the equation 60t+6000+3000e-004t+.4 P(t) = where P(t) gives an 10e.004t+.4 estimated count of the number of individual plants in the area. • Graph the population function using technology, for t > 0. What are some reasons the population might exhibit this behavior? • Use the graph to estimate how many plants of this species will be in the protected site after the population stabilizes.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
Related questions
Question
Transcribed Image Text:A native plant species is being re-introduced into a
protected site by a team of volunteers, in partnership
with a local Indigenous nation. The tribe has relied on this
plant for medicinal and cultural uses for millennia, and
their relationship with the land ensures that the plant
population will stabilize over time. The re-established
population t days after the re-introduction project can be
(roughly) modeled with the equation
P(t) =
60t+6000+3000e:004t+.4
where P(t) gives an
10e.004t+.4
estimated count of the number of individual plants in the
area.
• Graph the population function using technology, for
t > 0. What are some reasons the population might
exhibit this behavior?
• Use the graph to estimate how many plants of this
species will be in the protected site after the
population stabilizes.
Expert Solution
Step 1
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage