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.[br]1. How much water will be in the tank after 13 minutes?[br]2. How many minutes will it take until the tank has 5 liters of water?[br]3. In this situation, what information can we gain from the inverse of function w?[br]4. Find the inverse of function w. Be prepared to explain or show your reasoning.[br]5. How would the graph of the inverse function of w compare to the graph of w? Describe or sketch your prediction.
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Information: A.4.17.2 Another Look at the Tank