Respuesta :
The function that can be used to find t, the total number of gallons of water in the tank after w weeks will be t = -15w + 275
The initial volume of water in the tank is 275 gallons
The amount of water in the tank decreases at a constant rate of 15 gallons per week.
t = total number of gallons water in the tank after weeks
w = number of weeks
Therefore, the following equation/theory can be establish
- The initial gallon of water in the tank is 275 gallons that means we should have positive value of 275 in the equation
- The gallon of water reduces by 15 gallons each week which means 15 gallons will be subtracted from the initial gallons of water each week. This means we have to find the product of -15 and w(number of weeks).
The equation will be
t = 275 - 15w
or
t = -15w + 275
Check here for more details on how to find linear equations: https://brainly.com/question/17846793?referrer=searchResults