50 kg of a radioactive substance is found within your city and officials have to determine the best way to handle it. Several companies have made proposals but have used terminology that is confusing the council. Your objective is to clarify the information so that the council can compare the proposals and make a decision
The radioactive substance decays exponentially. The percent, P, of the substance left after t years is given by the function.
Company A says they can remove the substance when the instantaneous rate of decay falls below 20%.
Company B says they can remove the substance when it reaches half-life.
Company C says they can encase the substance in a special material, and it will be safe to move in 18 months.
Perform the necessary analysis so that the council can compare the proposals.
