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)

1) We can write an exponential function as
[tex]y=a(b)^x[/tex]Since then we can examine our function:
[tex]f(t)=400(0.98)^t[/tex]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:
[tex]\begin{gathered} f(t)=400(1-0.02)^t \\ y=a(1-r)^t \end{gathered}[/tex]We have a decay of 2% per hour since 0.98 is lesser than 1.
3) And the answer is decrease 2% per hour