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 1+ 999e-0.01EE (a) Plot the graph of N versus t over the first 1200 days. 2000 2000 2000 2000 1500 1500 1500 1500 1000 1000 1000 1000 500 500 500 500 200 400 600 800 1000 1200 200 400 800 200 400 600 800 1000 1200 600 1000 1200 800 1000 1200 x 200 400 600 (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.) x days

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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ANOTHER
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-0.0113t
(a) Plot the graph of N versus t over the first 1200 days.
N
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(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.)
x days
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Transcribed Image Text:TICE ANOTHER 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-0.0113t (a) Plot the graph of N versus t over the first 1200 days. N 2000 2000 2000- 2000 1500 1500 1500 1500 1000 1000 1000 1000 500 500 500 500 200 400 600 800 1000 1200 200 400 600 800 200 400 600 800 1000 1200 1000 1200 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.) x days Need Help? Read It
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