the population of a colony of mosquitoes obeys the law of uninhibited growth. use this information to answer…

the population of a colony of mosquitoes obeys the law of uninhibited growth. use this information to answer parts (a) through (c). (a) if n is the population of the colony and t is the time in days, express n as a function of t. consider n₀ 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.)

the population of a colony of mosquitoes obeys the law of uninhibited growth. use this information to answer parts (a) through (c). (a) if n is the population of the colony and t is the time in days, express n as a function of t. consider n₀ 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

Explanation:

Step1: Recall the formula for uninhibited growth

The general formula for uninhibited growth is $N(t)=N_0e^{kt}$, where $N_0$ is the initial amount, $k$ is the growth - rate constant, and $t$ is the time.

Answer:

$N_0e^{kt}$