Explanation Given information: A certainbacteria culture grows at a rate proportional to its size, and 10 , 000 bacteria grow at the rate of 500 bacteria per day. Explanation: Let f ( t ) be the growth of bacteria after t days. ⇒ f ' ( t ) is the rate of growth of bacteria per day. As the bacteria culture grows at a rate proportional to its size, ⇒ f ' ( t ) = k ⋅ f ( t ) . As 10 , 000 bacteria grow at the rate of 500 bacteria per day, ⇒ 500 = k ⋅ 10000 Divide both sides by 10000

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ISBN: 9780134507132

Author: Asmar

Publisher: YUZU

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Chapter 5, Problem 26RE

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The rate of bacteria culture when it reaches at 15,000 bacteria, where bacteria culture grows at a rate proportional to its size and 10,000 bacteria grow at the rate of 500 bacteria per day.

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The rate of bacteria culture when it reaches at 15 , 000 bacteria, where bacteria culture grows at a rate proportional to its size and 10 , 000 bacteria grow at the rate of 500 bacteria per day.

Solution Summary: The author explains that bacteria culture grows at a rate proportional to its size, and 10,000 bacteria grow at the rate of 500

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The rate of bacteria culture when it reaches at 15,000 bacteria, where bacteria culture grows at a rate proportional to its size and 10,000 bacteria grow at the rate of 500 bacteria per day.

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