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. N = 1000 1 + 999e−0.0117t (a) Plot the graph of N versus t over the first 1200 days. (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.) days
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. N = 1000 1 + 999e−0.0117t (a) Plot the graph of N versus t over the first 1200 days. (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.) days
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 50E
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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.
N =
1000 |
1 + 999e−0.0117t |
(a) Plot the graph of N versus t over the first 1200 days.
(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.)
days
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