an old bone contains 80% of its original carbon - 14. use the half - life model to find the age of the bone…

an old bone contains 80% of its original carbon - 14. use the half - life model to find the age of the bone. find an equation equivalent to (p(t)=a(\frac{1}{2})^{\frac{t}{5730}}). find the value of (\frac{p(t)}{a}) for this problem.

an old bone contains 80% of its original carbon - 14. use the half - life model to find the age of the bone. find an equation equivalent to (p(t)=a(\frac{1}{2})^{\frac{t}{5730}}). find the value of (\frac{p(t)}{a}) for this problem.

Answer

Answer:

0.8

Explanation:

Step1: Understand the problem

The bone contains 80% of original carbon - 14.

Step2: Relate to formula

If $A$ is the original amount and $P(t)$ is the amount at time $t$, then $\frac{P(t)}{A}$ represents the proportion of the original amount remaining.

Step3: Calculate the value

Since the bone has 80% = 0.8 of its original carbon - 14, $\frac{P(t)}{A}=0.8$.