A hot tub contains 1600L of water and is emptied at a constant rate of 20L per minute.

Question

A hot tub contains 1600L of water and is emptied at a constant rate of 20L per minute. State the domain and range and explain there importance In terms of the context of the situation 

Answer 1

W(t) =  1600 - 20t is a function giving us the volume of water (in liters) as a function of time (in minutes).

 

The lowest possible value of W(t) is zero; this occurs when 1600 = 20t or t =80 minutes.

 

So the domain is [0,80) and the range is [0,1600].

 

Their importance is "you can't get fuller than 1600 L nor can you get emptier than 0 L, so the entire experience from full to empty occurs during the time from 0 to 80 minutes."