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. 0 98 Logistic y= Length (mm) Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? OA. Exponential (y=a.b*) O B. C 1+ ae-bx 4 103 OC. Linear (y = mx + b) 8 109 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 12 113 mm per year. 16 118
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. 0 98 Logistic y= Length (mm) Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? OA. Exponential (y=a.b*) O B. C 1+ ae-bx 4 103 OC. Linear (y = mx + b) 8 109 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 12 113 mm per year. 16 118
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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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
98
|y=
Use the data to construct a scatter plot, then complete the following.
1) Which of the following best describes the pattern?
O A.
A. Exponential (y=a•b*)
O B.
C
1+ ae-bx
4
103
OC. Linear (y = mx + b)
8
109
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
113
mm per year.
16
118
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