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. In either case, it is more appropriate to report the time since the plant has died as approximately 19, years since these measurements are never completely precise. If we evaluate this expression on a calculator, we get a value of approximately 19, years since the plant has died. Carbon 14 dating.

## Unit: Quantum Physics

## Exponential Growth and Decay (examples, solutions, worksheets, videos, activities)

As you learn about modelling exponential growth and decay, recall familiar techniques that have helped you to model situations using other types of functions. The exponential growth and decay models possess input and corresponding output like other functions graphed in the real plane. They also adhere to the characteristic feature of the graphs of all functions; each point corresponding input and output pairs contained on the graph of the function satisfies the equation of the function. You can rely on these features as you work with the form of the function to fill in known quantities from a given situation to solve for unknowns. 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.

### Calculus I: Lesson 20: Exponential Growth and Decay

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. These molecules are subsequently incorporated into the cells and tissues that make up living things.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. I came across a PreCalc decay problem dealing with trying to date an old piece of wood found at a archaeological dig. The half-life of carbon was given as years.

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