A container of hot liquid is placed in a freezer that is kept at a constant temperature of 20F. The initial temperature of the liquid is 160F. After 5 minutes, the liquid's temperature is 60F. (a) Let y represent the temperature of the liquid in degrees Fahrenheit and let t represent the time in minutes after it is placed in the freezer. Write a differential equation %. (Use k for the constant of proportionality.) dy _ _ E_ k(y 20) / Find the general solution of the differential equation. (Use k for the constant of proportionality. Use C for any needed constant.) y: Use the given initial temperature to find the particular solution of the differential equation. (b) How much longer will it take for its temperature to decrease to 27F? (Round your answer to two decimal places.) _x mm