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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) 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
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 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
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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