The number of students who are enrolled in math classes at a local college can be represented by
E = −16w + 550,
where E represents the math class enrollment at the college w weeks after the start of the fall semester.
(a) Find the total enrollment in math classes at the college at the beginning of the fall semester. (Hint: Since the semester is just starting, w = 0.)
(b) During which week will the total enrollment be 470 students?
(c) What will the total enrollment be in math classes after 6 weeks?
