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)

Question

Responses

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

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

Answer 1

In this situation, we are looking at the population of mosquitos after a certain number of days, where \( t \) represents the time in days. The problem specifies that the city decides to spray for mosquitos after 11 days.

Thus, the appropriate domain for the variable \( t \) (the time in days) should reflect the time period before the spraying starts. Since we're interested in the days from the start until the city sprays, the suitable domain is:

0 ≤ t ≤ 11

So, the correct response is:

0 ≤ t ≤ 11