Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 200 bacteria. (a) What is the size of the population after 12 hours? 3200 bacteria (b) What is the size of the population after t hours? P = (c) Estimate the size of the population after 20 hours. (Round your answer to the nearest integer.) bacteria (d) Graph the population function. P 60 000 60 00야 50 000 50 000 40 000 40 000 30 000 30 000 20 000 20 000 10 000 10 000 t 30 10 15 25 5 10 15 20 25 30 60 000아 60 000 50 000 50 000 40 000 40 000 20.000 20
Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 200 bacteria. (a) What is the size of the population after 12 hours? 3200 bacteria (b) What is the size of the population after t hours? P = (c) Estimate the size of the population after 20 hours. (Round your answer to the nearest integer.) bacteria (d) Graph the population function. P 60 000 60 00야 50 000 50 000 40 000 40 000 30 000 30 000 20 000 20 000 10 000 10 000 t 30 10 15 25 5 10 15 20 25 30 60 000아 60 000 50 000 50 000 40 000 40 000 20.000 20
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 10CT
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Transcribed Image Text:Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 200 bacteria.
(a) What is the size of the population after 12 hours?
3200
bacteria
(b) What is the size of the population after t hours?
P =
(c) Estimate the size of the population after 20 hours. (Round your answer to the nearest integer.)
bacteria
(d) Graph the population function.
60 000
60 000
50 000
50 000
40 000
40 000
30 000
30 000
20 000
20 000
10 000
10 000
t
30
10
15
20
25
10
15
20
25
30
60 000
60 000
50 000
50 000
40 000
40 000
30 000
30 000
Transcribed Image Text:50 000
50 000
40 000
40 000
30 000
30 000
20 000
20 000
10 000
10 000
5
10
15
20
25
30
10
15
20
25
30
P
P
60 000
60 000
50 000
50 000
40 000
40 000
30 000
30 000
20 000
20 000
10 000
10 000
5
10
15
25
t
30
20
30
10
15
20
25
Estimate the time for the population to reach 50,000. (Round your answer to one decimal place.)
hrs
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