An artifact originally had 16 grams of carbon-14present. 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 with be present in 8676 The amount of carbon-14 present in 8676 years will be approximately grams. (Round to the nearest whole number.)

Step 1 ：The question is asking for the amount of carbon-14 present after 8676 years. We can use the given decay model to calculate this. The decay model is an exponential decay model, where A is the amount of carbon-14 present after t years, 16 is the initial amount of carbon-14, e is the base of the natural logarithm (approximately equal to 2.71828), -0.000121 is the decay rate, and t is the time in years. We can substitute t = 8676 into the model to find the amount of carbon-14 present after 8676 years.

Step 2 ：Substitute t = 8676 into the decay model: \(A = 16e^{-0.000121 \times 8676}\)

Step 3 ：Calculate the amount of carbon-14 present after 8676 years: \(A = 5.600146299103582\) grams

Step 4 ：However, the question asks for the answer to be rounded to the nearest whole number. So, we round 5.600146299103582 to the nearest whole number.

Step 5 ：Rounded amount of carbon-14 present after 8676 years: \(A = 6\) grams

Step 6 ：Final Answer: The amount of carbon-14 present in 8676 years will be approximately \(\boxed{6}\) grams.