Answer :
The tub is said to drain 24 gallons of water in 5 minutes.
The rate at which water is drained is;
[tex]\text{Rate r}=\frac{volume}{time}[/tex]The volume is given as 24 gallons.
Recall that 1 US gallon is equivalent to 16 US cups.
[tex]\begin{gathered} \text{Volume = 24 gallons }\times16\text{ cups/gallon} \\ \text{Volume}=384\text{ cups} \end{gathered}[/tex]Time taken is given as 5 minutes.
since the rate is in cups per second, we need the convert the time to seconds;
[tex]\begin{gathered} \text{Time}=5\text{ minutes}\times60\text{ seconds/minute} \\ \text{Time}=300\text{ seconds} \end{gathered}[/tex]Using the rate formula, The rate in cups per second is;
[tex]\text{Rate r}=\frac{384}{300}=1.28\text{ cups/second}[/tex]The rate in cups per second is 1.28 cups per second