Records indicate that t hours past midnight, the temperature at the local airport was $f ( t ) = - 0.3 t ^ { 2 } + 8 t + 14$ degrees Fahrenheit. What was the average temperature at the airport between 1:00 A.M. and noon? Round your answer to one decimal place, if necessary.
A) 42.6 degrees F
B) 53.6 degrees F
C) 50.3 degrees F
D) 36.3 degrees F

Question

Quizplus · Accepted Answer

To find the average temperature, integrate the function from t=1 to t=12 and divide by the interval length (12-1=11). The integral of $f(t)$ from 1 to 12 is 553.3. Dividing by 11 gives an average temperature of 50.3 degrees F.

Records Indicate That T Hours Past Midnight, the Temperature at the Local