The Famous Cat and Mouse Problem. On an island that had no cats, the mouse population doubled during the years from 1980 to 1990, reaching 50,000. At that time the islanders imported several cats, who thereafter have killed 6000 mice per year. a) What is the number of mice on this island at year t? b) How many mice will be on the island in the vear 2000?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
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Application of Differential Equation of Order One 

The Famous Cat and Mouse Problem. On an island that had no cats, the mouse population doubled
during the years from 1980 to 1990, reaching 50,000. At that time the islanders imported several cats,
who thereafter have killed 6000 mice per year.
a) What is the number of mice on this island at year t?
b) How many mice will be on the island in the year 2000?
Blood Alcohol Levels. In many states it is illegal to drive with a blood alcohol level greater than 0.10%
(one part of alcohol per 1000 parts of blood). Suppose someone who was involved in an automobile
accident had blood alcohol tested at 0.20% at the time of the accident. Assume that the percentage of
alcohol in the bloodstream decreases exponentially at the rate of 10% per hour. a) Find the percentage
of alcohol in the bloodstream at any time.
b) How long will it be until this person can legally drive?
Transcribed Image Text:The Famous Cat and Mouse Problem. On an island that had no cats, the mouse population doubled during the years from 1980 to 1990, reaching 50,000. At that time the islanders imported several cats, who thereafter have killed 6000 mice per year. a) What is the number of mice on this island at year t? b) How many mice will be on the island in the year 2000? Blood Alcohol Levels. In many states it is illegal to drive with a blood alcohol level greater than 0.10% (one part of alcohol per 1000 parts of blood). Suppose someone who was involved in an automobile accident had blood alcohol tested at 0.20% at the time of the accident. Assume that the percentage of alcohol in the bloodstream decreases exponentially at the rate of 10% per hour. a) Find the percentage of alcohol in the bloodstream at any time. b) How long will it be until this person can legally drive?
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