Let T denote the temperature, in degrees, of a cup of coffee t seconds after it is placed on the counter to cool. Let 
denote, the difference, in degrees, between the temperature of the coffee and room temperature. Then D satisfies the equation of change
.
?
A: What can you conclude about the function 
?B: If the temperature of the coffee is initially 186 degrees, find a formula that gives D in terms of t. Write your answer using the alternative form for an exponential function.C: Find a formula that gives T in terms of t.
What will be an ideal response?
A: D is an exponential function with decay factor 
.
.?
B: 
?
C: 
Mathematics
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