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15. The fish population, in thousands, in a lake at time t, in years, is modelled by the following function: 3 + p(t) = 2 + t², if 0 ≤ 1 ≤ 6 12 t², if 6

15. The fish population, in thousands, in a lake at time t, in years, is modelled by the following function: 3 + p(t) = 2 + t², if 0 ≤ 1 ≤ 6 12 t², if 6

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 2RE: The population of a herd of deer is represented bythe function A(t)=205(1.13)t , where tis given...
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15. The fish population, in thousands, in a lake at time t, in years, is modelled by the following function: 3 + p(t) = 2 + t², if 0 ≤ 1 ≤ 6 12 t², if 6 <t≤ 12 18 This function describes a sudden change in the population at time t = 6, due to a chemical spill. a. Sketch the graph of p(t). b. Evaluate lim p(t) and lim p(t). _94-1 +94-1 c. Determine how many fish were killed by the spill. d. At what time did the population recover to the level before the spill?
Transcribed Image Text:15. The fish population, in thousands, in a lake at time t, in years, is modelled by the following function: 3 + p(t) = 2 + t², if 0 ≤ 1 ≤ 6 12 t², if 6 <t≤ 12 18 This function describes a sudden change in the population at time t = 6, due to a chemical spill. a. Sketch the graph of p(t). b. Evaluate lim p(t) and lim p(t). _94-1 +94-1 c. Determine how many fish were killed by the spill. d. At what time did the population recover to the level before the spill?
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