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 year 2000. t Length (mm) O B. O C. 0 92 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*) Linear (y = mx + b) с 1+ ae-bx Logistic y=- 4 98 8 105 12 110 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 2005, the stalactite was approximately mm long. and it was growing at a rate of approximately mm per year. 16 117

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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)
O C.
0
92
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*)
B. Linear (y = mx + b)
Logistic y=
(y=
C
-bx
4
98
1+ ae
8
105
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 2005,
the stalactite was approximately mm long,
and it was growing at a rate of approximately
12
110
mm per year.
16
117
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) O C. 0 92 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*) B. Linear (y = mx + b) Logistic y= (y= C -bx 4 98 1+ ae 8 105 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 2005, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 110 mm per year. 16 117
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