The temperature C of a fresh cup of coffee t minutes after it is poured is given by C - 125e-0.03 + 75 degrees Fahrenheit. (a) Make a graph of C versus t. 200 200 180 180 160 160 140 140 120 120 100 100 80 80 60 60 40 40 20 20 20 40 00 0 100 120 140 160 180 200 220 240 20 40 60 80 100 120 140 160 180 200 220 240 200 200 180 180 160 160 140 140 120 120 100 80 80 60 60 40 40 20 20 20 40 00 0 100 120 140 160 100 200 220 240 20 40 60 0 120 1401 (b) The coffee is cool enough to drink when its temperature is 150 degrees. When will the coffee be cool enough to drink? (Round your ansver to two decimal places. min (c) What is the temperature of the coffee in the pot? (Note: We are assuming that the coffee pot is being kept hot and is the same temperature as the cup of coffee when it was poured. Round your answer to the nearest degree.) OF (d) What is the temperature in the room where you are drinking the coffee? (Hint: If the coffee is left to cool a long time, it will reach room temperature. Round your answer to the nearest degree.) Tiplyashe Awhutcom

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.