This function can be used to determine the number of bacteria in a culture h hours after the culture was started.

Question

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.

Answer 1

To interpret the equation \( f(2) = 90 \), we first need to understand what the function \( f(h) = 10(3)^h \) represents. This function calculates the number of bacteria in a culture \( h \) hours after the culture was started.

When we find \( f(2) \), we are determining the number of bacteria 2 hours after the culture was initiated:

\[ f(2) = 10(3)^2 = 10 \times 9 = 90 \]

Thus, the statement that best describes the meaning of \( f(2) = 90 \) is:

A. It gives the number of bacteria in the culture after 2 hours.