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) 0 106 Logistic Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? OA C 1+ ae -bx 4 112 OB. Linear (y= mx + b) OC. Exponential (y=a.b*) 8 119 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 12 124 mm per year. 16 131

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
Problem 2ECP
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K
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)
0
106
Logistic y=
(y=
Use the data to construct a scatter plot, then complete the following.
1) Which of the following best describes the pattern?
O A.
C
- bx
1 + ae
4
112
B. Linear (y = mx + b)
C. Exponential (y=a•b*)
8
119
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
124
mm per year.
16
131
Transcribed Image Text:K 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) 0 106 Logistic y= (y= Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. C - bx 1 + ae 4 112 B. Linear (y = mx + b) C. Exponential (y=a•b*) 8 119 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 12 124 mm per year. 16 131
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