One study used the following logistic function to model the number N, in billions, of cells in a certain type of tumor t days after the typical size at diagnosis. 1000 N = 1+ 999e-a.0124 (a) Plot the graph of N versus t over the first 1200 days. 2000- 2000 2000 1500 1500 1500 1000- 1000- 1000- 500 500 500 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 2000 1500 1000 500 200 400 600 800 1000 1200 (b) How many days after diagnosis does it take the tumor to reach 100 times its size at the time of diagnosis? (Round your answer to one decimal place.) 416.7 x days

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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One study used the following logistic function to model the number N, in billions, of cells in a certain type of tumor t days after the typical size at diagnosis.
1000
N =
1+ 999e-0.0124t
(a) Plot the graph of N versus t over the first 1200 days.
N
2000
2000
2000
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1500
1500
1000-
1000
1000
500
500
50아
www t
200
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800 1000 1200
200
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1000 1200
200
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1000 1200
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1000
500-
200
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1000 1200
(b) How many days after diagnosis does it take the tumor to reach 100 times its size at the time of diagnosis? (Round your answer to one decimal place.)
416.7
x days
Transcribed Image Text:One study used the following logistic function to model the number N, in billions, of cells in a certain type of tumor t days after the typical size at diagnosis. 1000 N = 1+ 999e-0.0124t (a) Plot the graph of N versus t over the first 1200 days. N 2000 2000 2000 1500 1500 1500 1000- 1000 1000 500 500 50아 www t 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 2000 1500 1000 500- 200 400 600 800 1000 1200 (b) How many days after diagnosis does it take the tumor to reach 100 times its size at the time of diagnosis? (Round your answer to one decimal place.) 416.7 x days
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