Byron bought some bananas at the store and noticed some fruit flies after returning home. The number of fruit flies can be modeled by the equation f(t) = 8(2)t where f is the number of fruit flies after 6 days.

Answer 1

The equation you've provided, \( f(t) = 8(2)^t \), represents the growth of the number of fruit flies as a function of time \( t \), which is measured in days. However, you've mentioned that \( f \) represents the number of fruit flies after 6 days, which likely means you want to evaluate the function at \( t = 6 \).

Let's calculate the number of fruit flies after 6 days:

\[ f(6) = 8(2)^6 \]

Now, calculate \( (2)^6 \):

\[ (2)^6 = 64 \]

So, now substitute that back into the equation:

\[ f(6) = 8 \times 64 = 512 \]

Therefore, after 6 days, the number of fruit flies would be \( 512 \).