The size P of a certain insect population at time t (in days) obeys the function P(t) = 200e0.06t (a) Determine the number of insects at t=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 340? (e) When will the insect population double? (a) What is the number of insects at t=0 days? insects (b) What is the growth rate of the insect population? % (c) What is the population after 10 days? Approximately insects. (Do not round until the final answer. Then round to the nearest whole number as needed.) (d) When will the population reach 340 insects? In approximately days. (Do not round until the final answer. Then round to the nearest tenth as needed.) (e) When will the insect population double? In about days. (Do not round until the final answer. Then round to the nearest tenth as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 63E
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0.06t
The size P of a certain insect population at time t (in days) obeys the function P(t) = 200e
(a) Determine the number of insects at t=0 days.
(b) What is the growth rate of the insect population?
(c) What is the population after 10 days?
(d) When will the insect population reach 340?
(e) When will the insect population double?
(a) What is the number of insects at t= 0 days?
insects
(b) What is the growth rate of the insect population?
%
(c) What is the population after 10 days?
Approximately insects.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
(d) When will the population reach 340 insects?
In approximately days.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
(e) When will the insect population double?
In about days.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
C)
Transcribed Image Text:0.06t The size P of a certain insect population at time t (in days) obeys the function P(t) = 200e (a) Determine the number of insects at t=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 340? (e) When will the insect population double? (a) What is the number of insects at t= 0 days? insects (b) What is the growth rate of the insect population? % (c) What is the population after 10 days? Approximately insects. (Do not round until the final answer. Then round to the nearest whole number as needed.) (d) When will the population reach 340 insects? In approximately days. (Do not round until the final answer. Then round to the nearest tenth as needed.) (e) When will the insect population double? In about days. (Do not round until the final answer. Then round to the nearest tenth as needed.) C)
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