A population of insects is growing exponentially After 3 mon

A population of insects is growing exponentially. After 3 months, the population has increased from 3000 to 4800. How many months will it take for the population to reach 10,000 insects?

Solution

N_t = N₀e^rt

4800 = 3000*e^(3r)

r = 0.157

Then 10000 = 3000*e^(0.157*t)

t = 7.67 months