Question

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 1

Answer:

See Explanation

Step-by-step explanation:

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

$f(t) = 15(0.86)^t$

Required

Determine the rate of decay

In an exponential function $f(x) = ab^x$,

The decay rate of the function is calculated as:

$1 - r = b$

By comparison:

$b = 0.86$

So, the equation becomes:

$1 - r = 0.86$

Make r the subject

$r = 1 - 0.86$

$r = 0.14$

The rate of decay is 0.14