# Carbon dating algebra 2

## Algebra II : Radioactive Decay Equations

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Algebra II Help» Mathematical Relationships and Basic Graphs» Exponents» Applying Exponents Radioactive Decay Equations: Example Question #2.

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Over the past few years, the number of students enrolled at a certain university has been decreasing. Currently, 14, students are enrolled. If this trend continues, how many students will be enrolled in 5 years?

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In real-world applications, we need to model the behavior of a function. In mathematical modeling, we choose a familiar general function with properties that suggest that it will model the real-world phenomenon we wish to analyze. In the case of rapid growth, we may choose the exponential growth function:.

Archaeologists use the exponential, radioactive decay of carbon 14 to estimate the death dates of organic material. The stable form of carbon is carbon 12 and the radioactive isotope carbon 14 decays over time into nitrogen 14 and other particles. Carbon is naturally in all living organisms and is replenished in the tissues by eating other organisms or by breathing air that contains carbon. At any particular time all living organisms have approximately the same ratio of carbon 12 to carbon 14 in their tissues.

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Archaeologists use the exponential, radioactive decay of carbon 14 to Where t 1/2 is the half-life of the isotope carbon 14, t is the age of the fossil (or the date of .