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

The equation \( f(h) = 10(3)^h \) represents the number of bacteria in the culture \( h \) hours after it was started.

To understand what \( f(2) = 90 \) means, we can evaluate the function at \( h = 2 \):

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

This calculation shows that after 2 hours, there are 90 bacteria in the culture.

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

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