Angelica’s financial aid stipulates that her tuition cannot exceed $1000. If her local community col

Angelica’s financial aid stipulates that her tuition cannot exceed $1000. If her local community college charges a $35 registration fee plus $375 per course, what is the greatest number of courses for which Angelica can register?

We set up the Tuition function T(c), where c is the number of courses:
T(c) = Cost per course * c + Registration Fee
T(c) = 35c + 375

The problem asks for the number of courses (c) where her tuition cannot exceed $1000. The phrase cannot exceed means less than or equal to, or no more than. So we setup the inequality for T(c) <= 1000 below:
35c + 375 <= 1000

To solve this inequality for c, we type it in our search engine and we get:
c <= 17.85

Since we cannot have fractional courses, we round down and get:
c <= 17