Predator - Prey Model Naturalists find that populations of some kinds of predatory animals vary periodically with time. Assume that the population of foxes in a certain forest varies sinusoidaly with time. A minimum number of 300 foxes appeared 1.5 years. The next maximum, 500 foxes, occurred at x = at x = 4.55 years. The function to model this situation is f(x) = 100 · (x – 1.5)) + 400 is below. • COS - 3.05 Round answers to the hundredths. When is the population 450 for the first time? years When is the populaiton 450 for the second time? years Round answer to the nearest integer. What is the population in 3.15 years? fox

Predator - Prey Model Naturalists find that populations of some kinds of predatory animals vary periodically with time. Assume that the population of foxes in a certain forest varies sinusoidaly with time. A minimum number of 300 foxes appeared 1.5 years. The next maximum, 500 foxes, occurred at x = at x = 4.55 years. The function to model this situation is f(x) = 100 · (x – 1.5)) + 400 is below. • COS - 3.05 Round answers to the hundredths. When is the population 450 for the first time? years When is the populaiton 450 for the second time? years Round answer to the nearest integer. What is the population in 3.15 years? fox

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Predator - Prey Model
Naturalists find that populations of some kinds of predatory animals vary
periodically with time. Assume that the population of foxes in a certain
forest varies sinusoidaly with time. A minimum number of 300 foxes appeared
1.5 years. The next maximum, 500 foxes, occurred at x =
at x =
4.55 years.
The function to model this situation is
f(x) = - 100 - cos(,O5 (x – 1.5))
- 100 ·
+ 400 is below.
• COS
3.05
Round answers to the hundredths.
When is the population 450 for the first time?
years
When is the populaiton 450 for the second time?
уears
Round answer to the nearest integer.
What is the population in 3.15 years?
fox

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