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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)

A Population Of Bacteria Can Be Modeled By The Function F T 400 098t Where T Is The Time In Hours Which Of The Following Best Describes The Rate Of Change In Fu class=

Sagot :

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

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