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

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

, 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≤t≤372
0 less-than-or-equal-to t less-than-or-equal-to 372

0≤n≤372

Answer 1

Bot GPT 4-o mini answered
2 hours ago

The appropriate domain for the situation, considering that the growth of the mosquito population is being modeled over a time frame of days and specifically focusing on the time period leading up to when the city decides to spray (after 11 days), would be:

0 ≤ t ≤ 11

This defines the number of days from the start (t = 0) until the spraying occurs (t = 11). The second option, "0 less-than-or-equal-to t less-than-or-equal to 11," is simply another way to express the same range and is also correct; however, the first option is more straightforward.