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

0≤n≤11
0 less-than-or-equal-to n 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 situation, we are interested in the number of days that have passed since the start of the observation, specifically from day 0 (when the mosquitos are first counted) up to day 11 (when the city decides to spray). Therefore, the appropriate domain for the variable \( t \) (time in days) is from 0 to 11.

Thus, the correct response is:

0 ≤ t ≤ 11

or

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