Question

Water is leaking out of a water tank such that the amount of water remaining in the tank is given by the function
V(t) = 3000 - 48t, where V is the volume of water in the tank in litres and t is the time it takes to drain in
minutes.
a. Calculate how much water was in the tank before it started leaking.
b. Calculate how much water is left in the tank after leaking for 20 minutes.
c. Show that if the tank is checked after 65 minutes there will be no water left.
d. In the context of this problem, explain what the gradient of -48 means.
e. State the domain of the function,​

Answer 1

Answer:

Water is draining out of a tank. The volume of water remaining in the tank is a function of time: V(t) = 10 − 3 t with V in liters t in minutes. Compute the derivative of V at the location t. V'(t) = Correct: Your answer is correct. Find the flow rate at the instant when t = 3 minutes. Use correct units and be accurate to three decimal places. -.866 liters per minute Correct: Your answer is correct. At what instant in time is the flow rate exactly − 1 l/min? Give an exact decimal answer with units.