👤
Answered

The population of bacteria can be modeled by the function below, where t represents the time since the population started decaying and f(t) represents the population of the remining bacteria at time t. What is the rate of decay for this population?

Answer :

MrRoyalgo

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. I will assume the function is:

[tex]f(t) = 15(0.86)^t[/tex]

Required

Determine the rate of decay

In an exponential function [tex]f(x) = ab^x[/tex],

The decay rate of the function is calculated as:

[tex]1 - r = b[/tex]

By comparison:

[tex]b = 0.86[/tex]

So, the equation becomes:

[tex]1 - r = 0.86[/tex]

Make r the subject

[tex]r = 1 - 0.86[/tex]

[tex]r = 0.14[/tex]

The rate of decay is 0.14

Go Teaching: Other Questions