Solve the Problem $\mathrm { A } ( \mathrm { t } ) = 1000 ( 2.718 ) ^ { - 0.032 t } ,$

Multiple Choice

Solve the problem.
-A sample of 1000 g of lead-210 decays to polonium-210 according to the function given by $\mathrm { A } ( \mathrm { t } ) = 1000 ( 2.718 ) ^ { - 0.032 t } ,$ where t is time in years. What is the amount of the sample, to the nearest gram, after 40 years?

A) 3596 g
B) 16 g
C) 202 g
D) 278 g