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≤372
0 less-than-or-equal-to t less-than-or-equal-to 372
0≤n≤372
0 less-than-or-equal-to n less-than-or-equal-to 372
0≤n≤11
0 less-than-or-equal-to n less-than-or-equal-to 11
0≤t≤11
In this context, the domain refers to the set of all possible input values for the variable t, which represents time in days. Since the city decides to spray for mosquitoes after 11 days, we are interested in the growth of the mosquito population up until that point.
The appropriate domain for the situation would be from the start of the observation (day 0) up to and including the time when they decide to spray (day 11). Therefore, the correct domain for t is from 0 to 11, inclusive.
The correct answer is:
0 ≤ t ≤ 11
0 less-than-or-equal-to t less-than-or-equal-to 11