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) 0 116 Logistic y= 4 121 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. Linear (y = mx + b) OC. с 1+ ae-bx 8 127 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 2006, the stalactite was approximately mm long. and it was growing at a rate of approximately 12 131 mm per year. 16 136
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) 0 116 Logistic y= 4 121 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. Linear (y = mx + b) OC. с 1+ ae-bx 8 127 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 2006, the stalactite was approximately mm long. and it was growing at a rate of approximately 12 131 mm per year. 16 136
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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
116
Logistic y=
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. Linear (y = mx + b)
O C.
C
- bx
4
121
1 + ae
8
127
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 2006,
mm long,
the stalactite was approximately
and it was growing at a rate of approximately
12
131
mm per year.
16
136](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F002f543a-65e8-4df8-81c3-9e799727fd81%2F250c797d-b628-402f-b142-c008072bdb1a%2Fg0ilpiv_processed.jpeg&w=3840&q=75)
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
116
Logistic y=
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. Linear (y = mx + b)
O C.
C
- bx
4
121
1 + ae
8
127
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 2006,
mm long,
the stalactite was approximately
and it was growing at a rate of approximately
12
131
mm per year.
16
136
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