In a certain culture of bacteria the rate of increase is proportional to the number present. (i) If it is found that the number doubles in 6 hours, how many may be expected at the end of 18 hours? (ii) If there are 106 at the end of 4 hours and 8 × 106 at the end of 7 hours, how many were there in the beginning?
In a certain culture of bacteria the rate of increase is proportional to the number present. (i) If it is found that the number doubles in 6 hours, how many may be expected at the end of 18 hours? (ii) If there are 106 at the end of 4 hours and 8 × 106 at the end of 7 hours, how many were there in the beginning?
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Question
(a) In a certain culture of bacteria the rate of increase is proportional to the number
present.
(i) If it is found that the number doubles in 6 hours, how many may be expected
at the end of 18 hours?
(ii) If there are 106 at the end of 4 hours and 8 × 106 at the end of 7 hours, how
many were there in the beginning?
(b) According to Newton’s law of cooling, the rate at which a substance cools in
moving air is proportional to the difference between the temperature of the substance
and that of the air. If the temperature of the air is 32° and the substance cools from
100° to 70° in 15 minutes, find when the temperature will be 42°.
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