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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
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 0 Length (mm) 89 4 94 8 100 1029 16 104 109 Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? A. Linear (y = mx + b) OB. Exponential (y=a+b) C. C Logistic 1+ae-bx 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 2005, the stalactite was approximately mm long, and it was growing at a rate of approximately 1.25 mm per year.
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