The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where t is in years after the beginning of the year 2000. t Length (mm) Logistic 0 103 = Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? A. Linear (y= mx + b) B. C 1+ae - bx 4 109 C. Exponential (y = a.b*) 8 116 2) Using your calculator and the best of the four methods above, find a model, L(t), that estimates the length of the stalactite t years after 2000. ROUND TO TWO DECIMAL PLACES. L(t) = 3) Use your rounded answer from part 2 to complete the following. ROUND TO TWO DECIMAL PLACES. Acording to the model, at the beginning of the year 2007, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 121 m per year 16 128

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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The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The
data through 2016 is shown below, where t is in years after the beginning of the year 2000.
t
Length (mm)
Logistic
0
103
=
Use the data to construct a scatter plot, then complete the following.
1) Which of the following best describes the pattern?
A. Linear (y= mx + b)
B.
C
1+ae
- bx
4
109
C. Exponential (y = a.b*)
8
116
2) Using your calculator and the best of the four methods above, find a model, L(t),
that estimates the length of the stalactite t years after 2000.
ROUND TO TWO DECIMAL PLACES.
L(t) =
3) Use your rounded answer from part 2 to complete the following.
ROUND TO TWO DECIMAL PLACES.
Acording to the model, at the beginning of the year 2007,
the stalactite was approximately mm long,
and it was growing at a rate of approximately
12
121
mm per year.
16
128
Transcribed Image Text:The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where t is in years after the beginning of the year 2000. t Length (mm) Logistic 0 103 = Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? A. Linear (y= mx + b) B. C 1+ae - bx 4 109 C. Exponential (y = a.b*) 8 116 2) Using your calculator and the best of the four methods above, find a model, L(t), that estimates the length of the stalactite t years after 2000. ROUND TO TWO DECIMAL PLACES. L(t) = 3) Use your rounded answer from part 2 to complete the following. ROUND TO TWO DECIMAL PLACES. Acording to the model, at the beginning of the year 2007, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 121 mm per year. 16 128
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