How to Write a Linear Decay Function

Decay functions are used to model animal populations.
••• Photos.com/Photos.com/Getty Images

Decay functions are used to model a data value that is decreasing over time. They are used commonly to monitor the population decline of colonies of animals in scientific studies. They are also used to model the decay and half-life of radioactive materials. There are many types of decay models, including linear, non-linear, quadratic and exponential. The linear model uses a constant rate of decay, and is the most simple decay function.

    Familiarize yourself with the common form of the decay function: f(t) = C - r*t. In this equation, t is time, C is a constant, and r is the rate of decay.

    Define the constant C. C is the starting value of the population. For example, if the study starts with 50 goats, then C is set to 50.

    Define the constant r. r is the rate of decline. For example, if 2 goats die per year, then r is set to 2.

    Insert the values of the variables to yield the final function: f(t) = 50 - 2*t. If this function is analyzed, it can be seen that the population will become extinct in 25 years.

Related Articles

How to Calculate the Rate of Decay
How to Differentiate a Function
How to Write Functions in Math
How to Calculate Hazard Ratio
How to Calculate an Autocorrelation Coefficient
How to Find the X Intercept of a Function
How to Use a Graphing Calculator
How to Graph Parabolas on a TI-84 Calculator
How to Do Linear Equations in Math
How to Differentiate Negative Exponentials
How to Find Parent Functions
How to Plot a Michaelis-Menten Curve
How to Calculate Logit
Types of Algebra Equations
How to Calculate Correlation Coefficients With an Equation
How to Calculate a Two-Tailed Test
How to Find Y Value for the Slope of a Line
How to Find Horizontal Asymptotes of a Graph of a Rational...
How to Work Out a Gradient of a Curve
How to Calculate Population Projections

Dont Go!

We Have More Great Sciencing Articles!