The population of a swarm of mosquitos is growing at an exponential rate. The growth can be modeled by the equation n(t)=50(1.2)t

Question

, where n is the number of mosquitos after t days. After 11 days, a city decides to spray for mosquitos. Define an appropriate domain for the situation.(1 point)
Responses

0≤n≤11
0 less-than-or-equal-to n less-than-or-equal-to 11

0≤t≤11
0 less-than-or-equal-to t less-than-or-equal-to 11

0≤n≤372
0 less-than-or-equal-to n less-than-or-equal-to 372

0≤t≤372

Answer 1

In this scenario, the variable $t$ represents time in days, and the mosquito population $n(t)$ is modeled by the equation $n(t)=50(1.2{)}^t$.

Since you are interested in the number of days until the city decides to spray, and you want to define an appropriate domain for $t$, you should consider that $t$ represents the number of days, starting from 0 up to 11 days, as this is when the spraying occurs.

Thus, the appropriate domain for the situation is:

$$0\le t\le 11$$

So the correct response is:

0 ≤ t ≤ 11