Math word problem

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 5869 years. 

(round to the nearest whole number) 

 

The amount of carbon-14 present in 5869 years will be approximately ? grams.

Answer 1

A(t) is the amount of carbon-14 present as a function of time (t):

 

A(t) = 16e^-0.000121t

 

For t = 5869 years:

 

A(t=5869) = 16e-^{0.000121*5869}

 

A(t) = 16e^-0.710149

 

Use your calculator to determine the answer (e ≅ 2.718282).