A population of single-celled organisms was grown in a Petri dish over a period of 16 hours. The number of organisms at a given time is recorded in the table below.
A population of single-celled organisms was grown in a Petri dish over a period of 16 hours. The number of organisms at a given time is recorded in the table below.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A population of single-celled organisms was grown
in a Petri dish over a period of 16 hours. The
number of organisms at a given time is recorded in
the table below.
Time, hrs
Number of Organisms
(x)
(y)
0
25
2
36
4
52
6
68
8
85
10
104
12
142
16
260
Determine the exponential regression equation
model for these data, rounding all values to the
nearest ten-thousandth. Using this equation,
predict the number of single-celled organisms, to
the nearest whole number, at the end of the 18th
hour.
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