The half-life of a substance is how long it takes for half of the substance to decay or become harmless (for certain radioactive materials). The half-life of a substance is 37 years and there is an amount equal to 202 grams now. What is the expression for the amount A(t) that remains after t years, and what is the amount of the substance remaining (rounded to the nearest tenth) after 100 years? Hint: The exponential equation for half-life is A(t) = A0(0.5)t/H, where A(t) is the final amount remaining, A0 is the initial amount, t is time, and H is the half-life. (4 points)

A(t) = 202(0.5)37t, 1.5 grams remaining
A(t) = 202(0.5)37/t, 156.3 grams remaining
A(t) = 37(202)(0.5)t, 5.9 grams remaining
A(t) = 202(0.5)t/37, 31.0 grams remaining