Let x be the number of days it takes for the water level to reach 6000 gallons. Let y be the amount of water consumed after x days.
Amount of water used per day = 450 gallons.
Then, y = 450x --- (1)
Let's solve this model and find the value of x.
Amount of water initially in the tank = 18000 gallons.
If the water level reaches 6000 gallons, then the amount of water left in the tank = 18000 - 6000 = 12000 gallons.
Substitute in (1), we get,
12000 = 450x
x = [tex]\frac{12000}{450}[/tex]
= 26.666...
≅ 27 days
Hence, it will take 27 days for the water level to reach 6,000 gallons.
