The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F=120(2^-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 40 minutes after it was poured was how many degrees Fahrenheit? Choose the correct choice from the following answers.
A) 67.5 B) 75 C) 80 D) 85 E) 90
Answer: B   The temperature of coffee 10 minutes after it was poured (120 F) will help in solving the constant “a”.   120 = 120(2 ^ 10a) + 60   2 ^ -1 = 2 ^ 10a   a = -1/10   The temperature of coffee 40 minutes after it was poured is:   F = 120 ( 2 ^ -40/10) + 60   F = 120 * 1/ 16 + 60   F = 15/2 + 60   F = 135/2= 
<gadget id="calculator">135/2</gadget>
<output>135/2 = around 67.5</output>
67.5   67.5
<result>A</result>
The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F=120(2^-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 40 minutes after it was poured was how many degrees Fahrenheit?