Fruit flies are placed in a half-pint milk bottle with a banana (for food) and yeast plants (for food and to provide a stimulus to lay eggs). Suppose that the fruit fly population after t days is given by 230 P(t) 1 + 56.5e 0.37t (a) State the carrying capacity and the growth rate. (b) Determine the initial population. (c) What is the population after 5 days? (d) How long does it take for the population to reach 180? (e) Use a graphing utility to determine how long it takes for the population to reach one-half of the carrying capacity by graphing Y1 = P(t) and Y2 = 115 and using INTERSECT. %3D
Fruit flies are placed in a half-pint milk bottle with a banana (for food) and yeast plants (for food and to provide a stimulus to lay eggs). Suppose that the fruit fly population after t days is given by 230 P(t) 1 + 56.5e 0.37t (a) State the carrying capacity and the growth rate. (b) Determine the initial population. (c) What is the population after 5 days? (d) How long does it take for the population to reach 180? (e) Use a graphing utility to determine how long it takes for the population to reach one-half of the carrying capacity by graphing Y1 = P(t) and Y2 = 115 and using INTERSECT. %3D
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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Transcribed Image Text:Fruit flies are placed in a half-pint milk bottle with a banana (for food) and yeast
plants (for food and to provide a stimulus to lay eggs). Suppose that the fruit fly
population after t days is given by
230
P(t)
1 + 56.5e 0.37t
(a) State the carrying capacity and the growth rate.
(b) Determine the initial population.
(c) What is the population after 5 days?
(d) How long does it take for the population to reach 180?
(e) Use a graphing utility to determine how long it takes for the population to reach
one-half of the carrying capacity by graphing Y1 = P(t) and Y2 = 115 and
using INTERSECT.
%3D
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