Satterplot A Scatterplot B Scatterp Bacteria Growth Bacteria Growth Bacteria C 600 7.0 7.0 500 6.0 6.0 400 5.0 5.0 300 4.0 4.0 200 3.0 3.0 100 2.0 2.0 0 2 46 8 10 12 14 16 18 20 22 24 26 28 30 1.0 0 24 6 8 10 12 14 16 18 20 22 24 26 28 30 1.0 00 04 0.8 12 1.6 Number of Bacteria In (Number of Bacteria) In (Number of Bacteria)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 24E
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Question

Bacteria growth was measured over a one-month period. Scatterplot A displays the number of cells measured over the recorded number of days. Two transformations of the data are shown in the next two graphs. Scatterplot B displays the relationship between the number of days and the natural log of the number of cells of bacteria. Scatterplot C displays the relationship between the natural log of the number of days and the natural log of the number of cells of bacteria.

 

Which model best represents the relationship between the number of days and the number of cells of bacteria?

A linear model would best represent the relationship because scatterplot A is fairly linear.
An exponential model would best represent the relationship because scatterplot B is fairly linear.
A linear model would best represent the relationship because scatterplot B is fairly linear.
A power model would best represent the relationship because scatterplot C is fairly linear.
Scatterplot A
Scatterplot B
Scatterp
Bacteria Growth
Bacteria Growth
Bacteria G
600
7.0
7.0
500
6.0
6.0
400
5.0
5.0
300
4.0
4.0
200
3.0
3.0
100
2.0
2.0
0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
1.0
0 24 6 8 10 12 14 16 18 20 22 24 26 28 30
1.0
00
0.4 0.8
12
1.6 2
Number of Days
Number of Days
In (Number c
Number of Bacteria
In (Number of Bacteria)
In (Number of Bacteria)
Transcribed Image Text:Scatterplot A Scatterplot B Scatterp Bacteria Growth Bacteria Growth Bacteria G 600 7.0 7.0 500 6.0 6.0 400 5.0 5.0 300 4.0 4.0 200 3.0 3.0 100 2.0 2.0 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 1.0 0 24 6 8 10 12 14 16 18 20 22 24 26 28 30 1.0 00 0.4 0.8 12 1.6 2 Number of Days Number of Days In (Number c Number of Bacteria In (Number of Bacteria) In (Number of Bacteria)
Scatterplot C
Bacteria Growth
7.0
6.0
5.0
4.0
3.0
2.0
1.0
0.0 04 0.8 12 1.6 20 24 28 32 3.6
In (Number of Days)
In (Number of Bacteria)
Transcribed Image Text:Scatterplot C Bacteria Growth 7.0 6.0 5.0 4.0 3.0 2.0 1.0 0.0 04 0.8 12 1.6 20 24 28 32 3.6 In (Number of Days) In (Number of Bacteria)
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