An artifact originally had 16 grams of carbon-14 present. the decay model A=16e^-0.000121t describes the amount of carbon-14 present after t years use the model

Question

An artifact originally had 16 grams of carbon-14 present. the decay model A=16e^-0.000121t describes the amount of carbon-14 present after t years use the model to determine how many grams of carbon-14 will be present in 9164 years.

Answer 1

The 14 in carbon-14 had nothing to do with solving this problem. That might be clearer is this was referenced as carbon-fourteen.

So it is just a matter of substituting 9164 for t in the function definition.

In other words:

A(9164) = 16e^{-0.000121(9164)}.

This can be done with a calculator.

Here is the solution on Desmos:

desmos.com/calculator/fswgqkikln