Solve the problem.
-The amount of a radioactive substance present, in grams, at time t in months is given by the formulay = 6,000(2)-0.2t. Find the number of grams present in 2 years. If necessary, round to three decimal places.
A)215.381
B)4,547.150
C)21.538
D)454.715

Question

Quizplus · Accepted Answer

The formula given is $y = 6000(2)^{-0.2t}$. To find the amount of the substance present in 2 years (24 months), substitute $t = 24$ into the formula: $y = 6000(2)^{-0.2(24)}$. This simplifies to $y \approx 215.381$ grams.

Solve the Problem. -The Amount of a Radioactive Substance Present, in Grams, at in Grams