Final answer:
To find the rate at which the swimming pool is losing water, convert the given information into gallons per hour. The pool is losing approximately 10.8 gallons per hour.
Step-by-step explanation:
To calculate the rate at which the swimming pool is losing water, we need to convert the given information into gallons per hour. First, we know that the cup fills up in 50 seconds and has a capacity of 12 ounces. To convert ounces to gallons, we can use the conversion factor: 1 gallon = 128 ounces. Therefore, the cup fills up with (12/128) gallons in 50 seconds. To find the rate in gallons per hour, we need to convert seconds to hours by dividing by 3600 (1 hour = 3600 seconds).
Rate (in gallons per hour) = (12/128) gallons * (3600/50) seconds = 10.8 gallons per hour.
Therefore, the swimming pool is losing approximately 10.8 gallons per hour.