Question

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 44.3 ​barrels, and exactly seven days after the​ crime, it was estimated at 23.8 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 101.4 101.4 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 9.2 9.2 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 10.9 days.

Answer 1