The water sources for Greenville County include two reservoirs: (1) Table Rock (Volume = 1,100 million ft³); and (2) North Saluda (Volume = 3,200 million ft³). The current population of Greenville County is approximately 570,000 people. Considering the current population growth rate of 1.8% per year, Greenville County’s population would reach 1 million people in 2057.

a. [5 pts] In 2057, would the current water system be sufficient to provide enough water for Greenville County during at least one year? Assume both reservoirs are full at the beginning of each year and that one person uses an average of 82 gallons of water per day (gal/d).

Notes: 

Flow (Q) = Volume (V) / Time (T)

1 ft³ = 7.48 gal.

1 Mega (M) = million = 10⁶

b. [5 pts] Is this population projection accurate? What factors could influence the population growth rate and projected population of Greenville County?