In archaeology, carbon-14 dating is a standard method of determining the age of certain artifacts. Decay rate can be measured by half-life, which is the time required for one-half of a substance to decompose. Carbon-14 has a half-life of approximately 5,600 years. If 100 grams of carbon were present originally, then the amount \(A\) of carbon present today is given by the formula

\[A=100\left(\frac{1}{2}\right)^{t / 5,600}\]

where \(t\) is the time since the organic material in the artifact was alive until today. Graph this relationship by letting \(t=5,600\), \(t=11,200, t=16,800 \cdots\), and adjust the scale accordingly. where \(A\) is the number of square centimeters of unhealed skin after \(t\) days when the original area of the wound was \(A_{0}\). Graph the healing curve for a wound of \(50 \mathrm{~cm}^{2}\).