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) 0 105 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 1+ae - bx B. Exponential (y = a.bx) O C. Linear (y = mx + b) 4 110 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 12 120 mm per year. 16 125

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section: Chapter Questions
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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 B.
C.
0
105
Logistic
Use the data to construct a scatter plot, then complete the following.
1) Which of the following best describes the pattern?
O A.
[x =
C
1+ae
- bx
4
110
Exponential (y = a •b*)
Linear (y= mx + 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
120
mm per year.
16
125
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 B. C. 0 105 Logistic Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. [x = C 1+ae - bx 4 110 Exponential (y = a •b*) Linear (y= mx + 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 12 120 mm per year. 16 125
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