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 12 4 116 8 122 16 131 126 t Length (mm) 0 111 Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. Logistic /= с 1+ae - bx O B. Exponential (y = a.b*) O C. Linear (y = mx + b) 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 mm per year.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 54E
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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
12
4
116
8
122
16
131
126
t
Length (mm)
0
111
Use the data to construct a scatter plot, then complete the following.
1) Which of the following best describes the pattern?
O A.
Logistic /=
с
1 + ae
- bx
OB. Exponential (y = a.b*)
O C. Linear (y = mx + b)
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 mm per year.
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 12 4 116 8 122 16 131 126 t Length (mm) 0 111 Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. Logistic /= с 1 + ae - bx OB. Exponential (y = a.b*) O C. Linear (y = mx + b) 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 mm per year.
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