A population of fish is living in an environment with limited resources in such a way that the population (measured in thousands of fish) at time t (measured in years after 2013) is given by P(t). (a) In a sentence or two, explain the physical interpretation of P O (1). (b) Suppose the graph of P(t) is shown below y = P(t) t Use the graph provided to make a rough sketch of the graph of P0 (t).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 2E: The quadratic function f(x)=a(xh)2+k is in standard form. (a) The graph of f is a parabola with...
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A population of fish is living in an environment with limited resources in such a way that the population
(measured in thousands of fish) at time t (measured in years after 2013) is given by P(t).
(a) In a sentence or two, explain the physical interpretation of PO (1).
(b) Suppose the graph of P(t) is shown below
4
y = P(t)
3
2
Use the graph provided to make a rough sketch of the graph of PO (t).
(c) Based on your graph, at (approximately) what time will the population be growing the fastest?
Transcribed Image Text:A population of fish is living in an environment with limited resources in such a way that the population (measured in thousands of fish) at time t (measured in years after 2013) is given by P(t). (a) In a sentence or two, explain the physical interpretation of PO (1). (b) Suppose the graph of P(t) is shown below 4 y = P(t) 3 2 Use the graph provided to make a rough sketch of the graph of PO (t). (c) Based on your graph, at (approximately) what time will the population be growing the fastest?
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