5. A yeast grows at a rate proportional to its present size. If the original amount doubles in four hours, in how many hours will it triple? Answer: 6.34 hours

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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APPLICATION: VARIABLE SEPARABLE

EXPONENTIAL GROWTH/DECAY

Population Growth
5. A yeast grows at a rate proportional to its present size.
If the original amount doubles in four hours, in how
many hours will it triple?
Answer: 6.34 hours
6. The population of bacteria in a culture grows at a rate
proportional to the number of bacteria present at time
1. After 4 hours it is observed that 400 bacteria are
present. After 12 hours, there were 1,200 bacteria
present. What was the initial number of bacteria?
Answer: 231
Radioactive Decay
7. Find the mass of a radioactive isotope if 3 half lives
occurred. The initial mass of the material was 80g.
Answer: 10 g.
8. Find the half life of a radioactive element if its activity
decreases for 1 month by 10%.
Answer": 197.3 days.
9. Strontium-90 has a half-life of 28 days. An initial
sample has a mass of 150 mg".
Transcribed Image Text:Population Growth 5. A yeast grows at a rate proportional to its present size. If the original amount doubles in four hours, in how many hours will it triple? Answer: 6.34 hours 6. The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time 1. After 4 hours it is observed that 400 bacteria are present. After 12 hours, there were 1,200 bacteria present. What was the initial number of bacteria? Answer: 231 Radioactive Decay 7. Find the mass of a radioactive isotope if 3 half lives occurred. The initial mass of the material was 80g. Answer: 10 g. 8. Find the half life of a radioactive element if its activity decreases for 1 month by 10%. Answer": 197.3 days. 9. Strontium-90 has a half-life of 28 days. An initial sample has a mass of 150 mg".
200
(0, 150)
100
-100
100
200
300
(a) Find a formula for the mass remaining after days.
(b) Find the mass after 100 days.
(c) How long does it take the sample to decay to a
mass of 15 mg?
Answer": 93.2 days
Transcribed Image Text:200 (0, 150) 100 -100 100 200 300 (a) Find a formula for the mass remaining after days. (b) Find the mass after 100 days. (c) How long does it take the sample to decay to a mass of 15 mg? Answer": 93.2 days
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