Answer:
The affirmation is true, the cover will be worth buying
Explanation:
The equation necessary to use is
E = m*cv,
Where
cv: the heat of vaporization.
Finding the rate at which the water evaporates (m^3/week).
The swimming pool loses water at 1 inch/week off its 1,000 ft^2
Than,
1000 ft² * 1 in/wk * 1 ft/12 in = 83.33 ft³/week
To obtains the rate of mass loss it is necessary to multiply it for the density of water
83.33 ft³/week * 62.4 lb/ft³ = 5200 lb/week
Knowing the vaporization heat it is possible to find the rate of heat which is leaving the swimming pool
5200 lb/week * 1050 BTU/lb = 5460000 btu/week
Over a 15-week period, the pool loses 81.9 million BTU.
Knowing the cost of energy to heat the pool is $10.00 per million btu
The price = $819
This way, the affirmation is true, the cover will be worth buying
