Carbon dating exponential functions scientific definition of carbon dating
In some applications, however, as we will see when we discuss the logistic equation, the logistic model sometimes fits the data better than the exponential model.
On the other hand, if a quantity is falling rapidly toward zero, without ever reaching zero, then we should probably choose the exponential decay model.
We may use the exponential growth function in applications involving doubling time, the time it takes for a quantity to double.
Such phenomena as wildlife populations, financial investments, biological samples, and natural resources may exhibit growth based on a doubling time.
This gives us the half-life formula \[t=−\dfrac\] Example \(\Page Index\): Finding the Function that Describes Radioactive Decay The half-life of carbon-14 is \(5,730\) years.
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We have already explored some basic applications of exponential and logarithmic functions.
For example, the distance to the nearest star, Proxima Centauri, measured in kilometers, is \(40,113,497,200,000\) kilometers.
Expressed in scientific notation, this is \(4.01134972 × 1013\).
The formula for radioactive decay is important in radiocarbon dating, which is used to calculate the approximate date a plant or animal died.