Question

mr. jackson is filling his familys pool for the summer. hes using a hose with a flow rate of 15 gallons per minute, and it takes him 120 minutes to fill the 1,800 - gallon pool. the function v(t) represents the volume of water in the pool, in gallons, t minutes after mr. jackson starts filling it. what is the domain of v(t)? all whole numbers from 0 to 120 all whole numbers all real numbers all real numbers from 0 to 120

Explanation:

Step1: Define domain context

The domain of $V(t)$ is all valid values of $t$ (time in minutes) when filling the pool.

Step2: Identify valid time range

Filling starts at $t=0$ minutes and ends at $t=120$ minutes. Time can take any real value in this interval (e.g., 2.5 minutes is a valid time, not just whole numbers).

Step3: Match to correct option

The valid domain includes all real numbers between 0 and 120, inclusive.

Answer:

all real numbers from 0 to 120