SOLUTION: A tank is being filled with water at a constant rate of 500 gallons per minute. At time t=0 the tank contained 125 gallons of water. (i) write down a linear equation that relate

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A tank is being filled with water at a constant rate of 500 gallons per minute. At time t=0 the tank contained 125 gallons of water. (i) write down a linear equation that relate      Log On


   

Question 762442: A tank is being filled with water at a constant rate of 500 gallons per minute. At time t=0 the tank contained 125 gallons of water.
(i) write down a linear equation that relates the number of gallons V in the tank after t minutes.
(ii) Find the number of gallons in the tank after 5 minutes.
(iii) Find how long it takes to fill the tank if the maximum number of gallonsit can hold is 4875 gallons.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
(i) V = 125 + (500*t)
(ii) V = 125 + (500*5) = 2625
(iii) 4875 = 125 + 500t
500t = 4750
t = 9.5 minutes to fill the tank