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Tchanges saved 16. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C A scientist is studying the effectiveness of 2 different antibiotics on the same strain of bacteria. He uses the same dose of each antibiotic and starts with the same initial bacteria count, results are shown in the tables below. Let z represent the time in hours. billions, in each petri dish. His Antibiotic A: f(z) = 1.5(0.56) 1 2 3 0.84 billion 0.47 billion 0.263 billion 0.148 billion 0.083 billion Antibiotic B: g(z) = 1.5(0.48) 0.72 billion 0.346 billion 0.166 billion 0.08 billion 0.038 billion Part A: What is the initial number of bacteria in each petri dish? Explain your answer. Part B: What is the decay rate for each antibiotic? Explain your answer. Part C: How many bacteria will be left in each petri dish after the time has reached 8 hours? Round to the nearest thousandth. Show your work.

Tchanges saved 16. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C A scientist is studying the effectiveness of 2 different antibiotics on the same strain of bacteria. He uses the same dose of each antibiotic and starts with the same initial bacteria count, results are shown in the tables below. Let z represent the time in hours. billions, in each petri dish. His Antibiotic A: f(z) = 1.5(0.56) 1 2 3 0.84 billion 0.47 billion 0.263 billion 0.148 billion 0.083 billion Antibiotic B: g(z) = 1.5(0.48) 0.72 billion 0.346 billion 0.166 billion 0.08 billion 0.038 billion Part A: What is the initial number of bacteria in each petri dish? Explain your answer. Part B: What is the decay rate for each antibiotic? Explain your answer. Part C: How many bacteria will be left in each petri dish after the time has reached 8 hours? Round to the nearest thousandth. Show your work.

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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All changes saved 16. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. A scientist is studying the effectiveness of 2 different antibiotics on the same strain of bacteria. He uses the same dose of each antibiotic and starts with the same initial bacteria count, in billions, in each petri dish. His results are shown in the tables below. Let z represent the time in hours. Antibiotic A: f(r) = 1.5(0.56)" 1 3 4 0.84 billion 0.47 billion 0.263 billion 0.148 billion 0.083 billion Antibiotic B: g(z) = 1.5(0.48)* 0.72 billion 0.346 billion 0.166 billion. 0.08 billion 0.038 billion Part A: What is the initial number of bacteria in each petri dish? Explain your answer. Part B: What is the decay rate for each antibiotic? Explain your answer. Part C: How many bacteria will be left in each petri dish after the time has reached 8 hours? Round to the nearest thousandth. Show your work.
Transcribed Image Text:All changes saved 16. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. A scientist is studying the effectiveness of 2 different antibiotics on the same strain of bacteria. He uses the same dose of each antibiotic and starts with the same initial bacteria count, in billions, in each petri dish. His results are shown in the tables below. Let z represent the time in hours. Antibiotic A: f(r) = 1.5(0.56)" 1 3 4 0.84 billion 0.47 billion 0.263 billion 0.148 billion 0.083 billion Antibiotic B: g(z) = 1.5(0.48)* 0.72 billion 0.346 billion 0.166 billion. 0.08 billion 0.038 billion Part A: What is the initial number of bacteria in each petri dish? Explain your answer. Part B: What is the decay rate for each antibiotic? Explain your answer. Part C: How many bacteria will be left in each petri dish after the time has reached 8 hours? Round to the nearest thousandth. Show your work.
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