Discuss the below:
An uncovered swimming pool loses water due to evaporation
Q: An uncovered swimming pool loses 1 inch of water off of its 1000ft^2 surface each week due to evaporation. The heat of vaporization for water at the pool temperature is 1050 Btu/lb. The cost of energy to heat the pool is 10.00 dollar per million BTU. A salesman claims that a 500 dollar pool cover that reduces evaporative losses by two-thirds will pay for itself in one 15 week swimming season. Is this true?