2. Two research assistants, Adi and Bea, review some data from an experiment. The number of pollu- tants (P) in a flask of water had been measured at various times t (in seconds) and the data from the experiment is recorded in the following graph. They each propose a model for P(t). Adi suggests a model of the form P(t) = ae-bt Bea suggests a model of the form 1 P(t) = at b. In(t) (a) Based on the given data, which researcher has proposed a more appropriate model? Why? [Hint: In (ry) In(x) + In(y) and In(x) = nln(x), where In is the natural logarithm.] In(P) 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Two research assistants, Adi and Bea, review some data from an experiment. The number of pollu-
tants (P) in a flask of water had been measured at various times t (in seconds) and the data from
the experiment is recorded in the following graph. They each propose a model for P(t).
5
Adi suggests a model of the form
4
P(t): = ae-bt.
3
Bea suggests a model of the form
P(t) = at b.
0
2
8
10
In(t)
(a) Based on the given data, which researcher has proposed a more appropriate model? Why?
[Hint: ln(xy) = ln(x) + ln(y) and ln(x¹) = nln(x), where In is the natural logarithm.]
In(P)
1
0
4
6
●
Transcribed Image Text:2. Two research assistants, Adi and Bea, review some data from an experiment. The number of pollu- tants (P) in a flask of water had been measured at various times t (in seconds) and the data from the experiment is recorded in the following graph. They each propose a model for P(t). 5 Adi suggests a model of the form 4 P(t): = ae-bt. 3 Bea suggests a model of the form P(t) = at b. 0 2 8 10 In(t) (a) Based on the given data, which researcher has proposed a more appropriate model? Why? [Hint: ln(xy) = ln(x) + ln(y) and ln(x¹) = nln(x), where In is the natural logarithm.] In(P) 1 0 4 6 ●
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