Students Participating in an Experiment Attended Several Lectures on a Subject

Students participating in an experiment attended several lectures on a subject. Every month for a year after that, the students were tested to see how much of the material they remembered. The average scores for the group are given by the human memory model $f ( t ) = 80 - \log _ { 10 } ( t + 1 ) ^ { 12 } , 0 \leq t \leq 12$ where t is the time in months. Find the average score for the group after 11 months. Round your answer to three decimal places.

A) $67.05$
B) $67.503$
C) $78.921$
D) $77.505$
E) $78.373$