Mathematics, 02.01.2020 01:31, donnafranks2003
Aswimming pool is being drained so it can be cleaned. the amount of water in the pool is changing according to the función f(t)= 80,000 - 16,000t , where t = time in hours and f(t) = amount of water in liters. what is the domain of this function in this situation? explain how you found your answer.
Answers: 1
, 
is the independent variable. The domain of 
is the set of all values of 
.
.![\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}](/tpl/images/0439/4633/eccda.png)
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Aswimming pool is being drained so it can be cleaned. the amount of water in the pool is changing ac...
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