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Dr. Frankenstein is growing two types of super- bacteria in his secret lab: A and B. • Bacteria A's population grows by 10% every hour. At midnight, he had 5000 bacteria of type A. • Bacteria B's population triples every 5 hours. At 1:00 AM, he had 1000 bacteria of type B. When will Dr. Frankenstein have twice as many bacteria B as bacteria A? Round to the nearest minute. (Give your answer as the time of day.)

Dr. Frankenstein is growing two types of super- bacteria in his secret lab: A and B. • Bacteria A's population grows by 10% every hour. At midnight, he had 5000 bacteria of type A. • Bacteria B's population triples every 5 hours. At 1:00 AM, he had 1000 bacteria of type B. When will Dr. Frankenstein have twice as many bacteria B as bacteria A? Round to the nearest minute. (Give your answer as the time of day.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Dr. Frankenstein's Super-Bacteria Growth Rates** Dr. Frankenstein is growing two types of super-bacteria in his secret lab: A and B. Here are the details about their population growth: 1. **Bacteria A**: - Growth Rate: The population grows by 10% every hour. - Initial Count: At midnight, there are 5000 bacteria of type A. 2. **Bacteria B**: - Growth Rate: The population triples every 5 hours. - Initial Count: At 1:00 AM, there are 1000 bacteria of type B. **Question**: When will Dr. Frankenstein have twice as many bacteria B as bacteria A? Provide your answer rounded to the nearest minute and as a time of day. **Hint**: You may need to use logarithmic and exponential functions to solve this problem accurately.
Transcribed Image Text:**Dr. Frankenstein's Super-Bacteria Growth Rates** Dr. Frankenstein is growing two types of super-bacteria in his secret lab: A and B. Here are the details about their population growth: 1. **Bacteria A**: - Growth Rate: The population grows by 10% every hour. - Initial Count: At midnight, there are 5000 bacteria of type A. 2. **Bacteria B**: - Growth Rate: The population triples every 5 hours. - Initial Count: At 1:00 AM, there are 1000 bacteria of type B. **Question**: When will Dr. Frankenstein have twice as many bacteria B as bacteria A? Provide your answer rounded to the nearest minute and as a time of day. **Hint**: You may need to use logarithmic and exponential functions to solve this problem accurately.
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