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) 0 114 Logistic y= Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? OA. Linear (y = mx + b). OB. Exponential (y=a.b*) O C. C 1+ aet 4 120 -bx 8 127 12 132 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 mm per year. 16 139

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter3: Radian Measure
Section3.5: Velocities
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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.
B. Exponential (y=a•b*)
Use the data to construct a scatter plot, then complete the following.
1) Which of the following best describes the pattern?
O A. Linear (y = mx + b)
O B.
Logistic y=
0
114
C
80
- bx
F3
1 + ae
4
120
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.
8
127
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
Q
F4
mm per year.
12
132
F5
F6
16
139
F7
DII
F8
F9
Clear all
F10
3 E
Check answer
F12
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. B. Exponential (y=a•b*) Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. Linear (y = mx + b) O B. Logistic y= 0 114 C 80 - bx F3 1 + ae 4 120 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. 8 127 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 Q F4 mm per year. 12 132 F5 F6 16 139 F7 DII F8 F9 Clear all F10 3 E Check answer F12
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