Tritium, the heaviest form of hydrogen, is a critical element in a hydrogen bomb. It decays exponentially with a half-life of about 12.3 years. Any nation wishing to maintain a viable hydrogen bomb has to replenish its tritium supply roughly every 3 years, so world tritium supplies are closely watched. Construct an exponential function, Upper A left-parenthesis t right-parenthesis, that shows the remaining amount of tritium as a function of time as 100 grams of tritium decays (about the amount needed for an average size bomb) where Upper A is measured in grams and t is measured in years.

Round numbers to three decimal places, if required.