Exponential Growth & Decay

Question

3). The population of a colony of mosquitoes obeys the law of uninhibited growth. 

If N is the population of the colony and t is the time in days, express N as a function of t. Consider N is the original amount at t= 0 and k≠0 is a constant that represents the growth rate N(t)= ___

(Type an expression using t as the variable and in terms of e.)

Answer 1

N(t) = N₀*e^kt

Note: it is more common to represent the initial value with a subscript of 0.