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6. The temperature C of a fresh cup of coffee t minutes after it is poured is given by C = 128 e 0.03 t

6. The temperatureCof a fresh cup of coffeetminutes after it is poured is given byC= 128e0.03t+ 67 degrees Fahrenheit. 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 unit.

a) 61 degrees Fahrenheit

b) 68 degrees Fahrenheit

c) 67 degrees Fahrenheit

d) 70 degrees Fahrenheit

7. You are hosting a convention for a charitable organization. You pay a rental fee of $29,500 for the convention center, plus you pay the caterer $16 for each person who attends the convention. Suppose you just want to break even. Use a formula to express the amount you should charge per ticket as a function of the number of people attending. Be sure to explain the meaning of the letters you choose and the units.

a)T(n) =dollars, whereT(n) is the amount charged per person, andnis the number of people attending the convention.

b)T(n) =dollars, whereT(n) is the amount charged per person, andnis the number of people attending the convention.

c)T(n) =dollars, whereT(n) is the amount charged per person, andnis the number of people attending the convention.

d)T(n) =dollars, whereT(n) is the amount charged per person, andnis the number of people attending the convention

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