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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. 0 98 Logistic y= Length (mm) 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. C 1+ ae-bx 4 103 OC. Linear (y = mx + b) 8 109 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 12 113 mm per year. 16 118

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. 0 98 Logistic y= Length (mm) 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. C 1+ ae-bx 4 103 OC. Linear (y = mx + b) 8 109 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 12 113 mm per year. 16 118

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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K CHIN 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) Logistic 0 98 |y= Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. A. Exponential (y=a•b*) O B. C 1+ ae-bx 4 103 OC. Linear (y = mx + b) 8 109 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 12 113 mm per year. 16 118
Transcribed Image Text:K CHIN 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) Logistic 0 98 |y= Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. A. Exponential (y=a•b*) O B. C 1+ ae-bx 4 103 OC. Linear (y = mx + b) 8 109 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 12 113 mm per year. 16 118
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