Question

A population of bacteria can be modeled by the function f (t) = 400 (0.98)^t, where t is the time in hours. Which of the following best describes the rate of change in function? (dont use advanced math please)

Answer 1

1) We can write an exponential function as

`y=a(b)^x`

Since then we can examine our function:

`f(t)=400(0.98)^t`

2) Let's set a table to check this rate of change:

x | y

-1 | 408.16

0 | 400

1 | 392

2 | 384.16

3 | 376.47

Note how the va

Since we can rewrite that function as:

`\begin{gathered} f(t)=400(1-0.02)^t \\ y=a(1-r)^t \end{gathered}`

We have a decay of 2% per hour since 0.98 is lesser than 1.

3) And the answer is decrease 2% per hour