A.4.17.2 Another Look at the Tank

A tank contained 80 liters of water. The function w represents the relationship between t, time in minutes, and the amount of water in the tank in liters. The equation w(t)=80-2.5t defines this function. 1. How much water will be in the tank after 13 minutes? 2. How many minutes will it take until the tank has 5 liters of water? 3. In this situation, what information can we gain from the inverse of function w? 4. Find the inverse of function w. Be prepared to explain or show your reasoning. 5. How would the graph of the inverse function of w compare to the graph of w? Sketch your prediction on the graph below.