The function \(f(t) = 80,000(2)^{\frac{t}{490}}\) gives the number of…

Question

Prompt

The function

f (t) = 80, 000 (2)^{\frac{t}{490}}

gives the number of bacteria in a population

t

minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?