A cup of coffee which is initially at a temperature of 154 degrees F is placed in a room which is at a constant temperature of 71 degrees F. In 10 minutes, the coffee has cooled to 133 degrees F. Find the Newtons Law of Cooling formula that models the coffee's temperature in t minutes. Keep at least 4 decimal places in your formula for rounded values. Determine to the nearest minute how long it will take the coffee to cool to a temperature of 100 degrees F.

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