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 24.3 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.