A 15-cup coffee pot (see Figure 6.1-4) was placed under a water faucet and lied to the 15-cup line. With the outlet valve, open, the faucet's ow rate was adjured until the water level remained constant at 15 cups, and the time for one cup to ow out of the pot was measured Hut experiment was repeated with the pot lied to the various levels down m the following table: Use the preceding data to obtain a relation between the ow rate and the number of cups in the pot. The manufacturer wants to make a 36-cup pot using the same outlet valve hot it concerned that a cup will II too Quickly, causing spills. Extrapolate the relation developed in part(a) and predict how long it will take to II one cup when the pot contains 36 cups