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finding the initial amount and rate of change given an exponential function a can of soda is placed inside a cooler as the soda cools its temperature C of T in degrees Celsius after T minutes so the temperature in Celsius is a function of T the time in minutes is given by the following exponential function so the temperature in celcius as a function of T time is equal to 21 times point zero eight eight raised to the exponent T ok now our first question says find the initial temperature so if you remember right exponential equations are always in the format a times B to the X okay so we have two constant values two numbers one has a variable attached usually the second one one doesnt so if we look at our equation here this 21 is the a value okay or the first number the one without the variable attached and this one is the point eight eight right the point eight eight is the one with the variable attached just over here were using T for our variable instead of just generally we use X o