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Carbon dating math

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This section begins with a discussion of exponential growth and decay, which you have probably already seen in calculus. We consider applications to radioactive decay, carbon dating, and compound interest. We also consider more complicated problems where the rate of change of a quantity is in part proportional to the magnitude of the quantity, but is also influenced by other other factors for example, a radioactive substance is manufactured at a certain rate, but decays at a rate proportional to its mass, or a saver makes regular deposits in a savings account that draws compound interest. Experimental evidence shows that radioactive material decays at a rate proportional to the mass of the material present. A radioactive substance has a half-life of years.
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Carbon Dating

Carbon dating math
Carbon dating math
Carbon dating math
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Carbon dating problems math | Latin Affairs

Sections: Log-based word problems , exponential-based word problems. Since the decay rate is given in terms of minutes, then time t will be in minutes. However, I note that there is no beginning or ending amount given. How am I supposed to figure out what the decay constant is? I can do this by working from the definition of "half-life": in the given amount of time in this case, 9.
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Exponential decay problem solving

In this section we will explore the use of carbon dating to determine the age of fossil remains. Carbon is a key element in biologically important molecules. During the lifetime of an organism, carbon is brought into the cell from the environment in the form of either carbon dioxide or carbon-based food molecules such as glucose; then used to build biologically important molecules such as sugars, proteins, fats, and nucleic acids.
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Carbon 14 is a common form of carbon which decays over time. The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating, important in archaeology and geology, among other places. Note that the purpose of this task is algebraic in nature -- closely related tasks exist which approach similar problems from numerical or graphical stances.
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