Q4.Application $$ =\quad / 5 ; $$ Knowledge $$ =\quad / 2 $$ . A hot cup of coffee cools according to the equation where $$ T $$ is the temperature in degrees Celsius and $$ t $$ is the time in minutes. a) Which part of the equation indicates that this is an example of exponential decay? b) What was the initial temperature of the coffee? c) Use your knowledge of transformations to d) Detch the graph of this function. nearest degree, after 48 min.

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a) The term $$ e^{-kt} $$ indicates exponential decay. b) The initial temperature of the coffee is $$ T_0 $$. c) The temperature after 48 minutes is $$ T(48) = T_a + (T_0 - T_a) e^{-k \cdot 48} $$. d) Sketch the graph with a horizontal asymptote at $$ T_a $$, starting at $$ T_0 $$, and decreasing exponentially.

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