Solve the problem.
-A sample of 800 g of lead-210 decays to polonium-210 according to the function given by , where t is time in years. What is the amount of the sample, to the nearest gram, after 100 years?
A) 77 g
B) 24 g
C) 19,620 g
D) 33 g

Question

Solve the problem.
-A sample of 800 g of lead-210 decays to polonium-210 according to the function given by  , where t is time in years. What is the amount of the sample, to the nearest gram, after 100 years?
A) 77 g 
B) 24 g 
C) 19,620 g 
D) 33 g

Quizplus · Accepted Answer

First, we need to use the function given to find the amount of sample remaining after 100 years:
A = 800e^(-0.0313*100) = 800e^(-3.13) ≈ 32.97 g
Rounding to the nearest gram, we get 33 g, which corresponds to choice D.

Solve the Problem. -A Sample of 800 G of Lead-210 Decays to Polonium-210