f (h) = 10(3)^h
Which statement best describes the meaning of the equation f (2) = 90?
A.
It gives the number of bacteria in the culture after 2 hours.
B.
It gives the number of bacteria in the culture after 3 hours.
C.
It gives the number of bacteria in the culture after 45 hours.
D.
It gives the number of bacteria in the culture after 90 hours.
1 answer
The function \( f(h) = 10(3)^h \) models the number of bacteria in a culture \( h \) hours after it was started.
To find \( f(2) \), we substitute \( h = 2 \) into the function:
\[ f(2) = 10(3)^2 = 10 \times 9 = 90 \]
This means that after 2 hours, there are 90 bacteria in the culture.
Therefore, the correct interpretation of \( f(2) = 90 \) is:
A. It gives the number of bacteria in the culture after 2 hours.
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