There are 32 students in Jamie’s eighth-grade class. Each student took a 50-point test; the class average (arithmetic mean) was 82% correct. The teacher has assigned one 4-point, extra-credit question. How many students will need to answer the extra-credit question correctly in order to bring the class average to 86% correct?

a. 15

b. 16

c. 17

d. All of the students

e. It will not be possible for the class to reach an average of 86% correct.