To define an appropriate domain for the mosquito population growth model, we need to consider the time period during which the population is being observed and the context of the situation.

Question

Given that the city decides to spray for mosquitos after 11 days, the domain should cover the time from the start of the observation until the spraying occurs. Therefore, the domain for the number of mosquitos ( n ) in terms of days ( t ) would be:
0≤t≤11
This means the domain includes all days from day 0 (the start) to day 11 (when the spraying happens).
make this like a 9th grader wrote it

Answer 1

To figure out the right time frame for our mosquito population growth model, we need to think about how long we’re watching the mosquitoes and what’s happening in the city. Since the city is planning to spray for mosquitoes after 11 days, we should focus on the time starting from when we begin our observations up to when the spraying happens.

So, the domain for the number of mosquitoes (let’s call it n) in relation to the number of days (which we'll call t) would be:

0 ≤ t ≤ 11

This means we’re looking at all the days from day 0 (when we start watching) to day 11 (when the spraying takes place).