HELP ME PLS I AM HAVING TROUBLE WITH MY MATH QUIZ

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 7619 years.

rounded to nearest whole number

grams?

Answer 1

A=16e^-0.000121t

Just set t=7619 and do the arithmetic with a calculator.

A=16e^{-0.000121(7619)}

Answer 2

Hey Emersen,

Maybe this will help:

Decay formula - 16e-0.000121t

Essentially, leave the 16 alone. You'll need this later.

They are looking for the amount of Carbon after t (years) which is 7,619.

So, from what I understand, you plug in the 7,619 (t) to the equation which should give you:

0.000121(7,619) = 0.921889 - round to the nearest whole number (which is 1)

So, then you have 16e-1 which should give you 15e, or 15 grams of Carbon remaining.

I hope this is helpful! If you have any other questions, please feel free to reach out!

Answer 3

Plug in 7619 for t in the equation.