Sharon Nolan, 28 years old
We have already explored some basic applications of exponential and logarithmic functions. 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:. We may use the exponential growth function in applications involving doubling timecollege algebra carbon dating time it takes for a quantity to double. Such phenomena as wildlife populations, financial investments, biological samples, and natural resources may exhibit growth based odn a doubling time. 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.
First Name. The age of a document is in dispute, so archaeologists test for carbon By comparing the amount of carbon to amount of carbon, one can determine approx how long ago the organism died. The half-life of carbon is years.
College algebra carbon dating
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Learning Objectives After completing this tutorial, you should be able to: Solve exponential growth problems. Solve exponential decay problems. Introduction In this tutorial I will step you through how to solve problems that deal in exponential growth and decay. These problems will require college algebra carbon dating to know how to evaluate exponential expressions and solve exponential equations. If you need a review on these topics, feel free to go to Tutorial Exponential Functions and Tutorial Exponential Equations. Ready, set, GO!!!!!
In college algebra carbon dating final section of this chapter we need to look at some applications of exponential and logarithm functions. In this part the interest is compounded quarterly and that means it is compounded 4 times a year. After 54 months we then have. Notice the amount of decimal places used here. It is important to not do too much rounding in intermediate steps with these problems. Here we are compounding monthly and so that means we are compounding 12 times a year. Now, as pointed out in the first part of this example it is important to not round too much before the final answer.
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.