The size P of a certain insect population at time t (in days) obeys the function P(t) = 300e0.071 (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 450? (e) When will the insect population double?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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The size P of a certain insect population at time t (in days) obeys the function P(t) = 300€0.07t
(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 450?
(e) When will the insect population double?
Approximately
insects.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
(d) When will the population reach 450 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.)
Transcribed Image Text:The size P of a certain insect population at time t (in days) obeys the function P(t) = 300€0.07t (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 450? (e) When will the insect population double? Approximately insects. (Do not round until the final answer. Then round to the nearest whole number as needed.) (d) When will the population reach 450 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.)
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