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 o 4 a 12 16 Length (mm) 100 106 113 118 125 Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? '11:} A- Exponential (y = a - bx) {I} B. L c ogistic y = _ 1 + as bx {:3- C. Linear (y = mx + b) 2) Using your calculator and the best of the four methods above, nd 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. Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into the local swamp. Exactly four days after the assumed time of the crime, the amount of Trioxin in the swamp was estimated at about 44.9 barrels, and exactly seven days after the crime, it was estimated at 29.1 barrels. Assume that no Trioxin was in the swamp before the crime, and that Trioxin decays exponentially. Construct a model that estimates the amount of Trioxin (in barrels) remaining in the swamp t days after it was dumped, then use that model to answer the following. 1)According to the model, how much Trioxin was initially dumped into the swamp? ROUND TO ONE DECIMAL PLACE. About barrels were initially dumped into the swamp. 2) According to the model, at what rate was the amount of Trioxin in the swamp decreasing exactly 4 days after it was dumped? ROUND TO ONE DECIMAL PLACE. The Trioxin was decreasing at a rate of barrels per day. 3) How many days after the crime will/did it take for the amount of Trioxin in the swamp to drop to 2 barrels? ROUND TO ONE DECIMAL PLACE. It took or will take about days