Exponential growth is defined as continuous growth in which the actual rate of growth at any instant is proportional to the quantity present at that instant. The formula for exponential growth is given by the equation below: Q = Poekt where: !3! Qo Is the quantity originally present (ie, the value of Q whent= 0) is the percentage continuous rate of growth during a specified period of time, expressed as a decimal k is the quantity present at the end of t for the given time periods Note that the model above can also be applied to exponential decay. The radioactive element radon has a half-life of 3.82 days (The half-life is the time taken for the half of no any mass to disintegrate). Given this fact, complete the following tasks: a). Find the value of k, the continuous fractional rate of decay b). Find how long it will take 400 g of radon to decay to 30.0 g c). Approximately, how long does take for the 400g of radon to completely decay d). Graph the rate of decay versus time