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A population of animals oscillates between a low of 1100 on January 1 (t = 0 ) and a high of 2000 on July 1 (t = 6 ). The population doesn't reach this high before July 1. (a) Find a formula for the population, P, in terms of the time, t, in months. Assume there is no phase shift. Use "pi" or symbol n to enter the n. P(t) = ? Edit (b) Interpret the amplitude, period, and midline of the function P = f(t). Amplitude = This is the amount that the population varies above and below the average v population. Period = months.

A population of animals oscillates between a low of 1100 on January 1 (t = 0 ) and a high of 2000 on July 1 (t = 6 ). The population doesn't reach this high before July 1. (a) Find a formula for the population, P, in terms of the time, t, in months. Assume there is no phase shift. Use "pi" or symbol n to enter the n. P(t) = ? Edit (b) Interpret the amplitude, period, and midline of the function P = f(t). Amplitude = This is the amount that the population varies above and below the average v population. Period = months.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A population of animals oscillates between a low of 1100 on January 1 ( t = 0 ) and a high of 2000 on July 1 (t = 6 ). The population doesn't reach this high before July 1. (a) Find a formula for the population, P, in terms of the time, t, in months. Assume there is no phase shift. Use "pi" or symbol r to enter the n. P(t) = ? Edit (b) Interpret the amplitude, period, and midline of the function P = f(t). Amplitude = This is the amount that the population varies above and below the average population. Period = months. This means the cycle repeats annually.
Transcribed Image Text:A population of animals oscillates between a low of 1100 on January 1 ( t = 0 ) and a high of 2000 on July 1 (t = 6 ). The population doesn't reach this high before July 1. (a) Find a formula for the population, P, in terms of the time, t, in months. Assume there is no phase shift. Use "pi" or symbol r to enter the n. P(t) = ? Edit (b) Interpret the amplitude, period, and midline of the function P = f(t). Amplitude = This is the amount that the population varies above and below the average population. Period = months. This means the cycle repeats annually.
Midline P Edit The midline is the average population value over one year. (c) Use a graph with 0 <t< 12 to estimate when P = 1300. Round your answers to one decimal place. Enter your answers in increasing order. P = 1300 when t 2 and t 2
Transcribed Image Text:Midline P Edit The midline is the average population value over one year. (c) Use a graph with 0 <t< 12 to estimate when P = 1300. Round your answers to one decimal place. Enter your answers in increasing order. P = 1300 when t 2 and t 2
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