Alarge community college has professors and lecturers. the total number of faculty is 228. the school reported that they have 5 professors for every 14 lecturers. how many of each type of each employee does the community college employ?

The large community college has 76 professors and 212 lecturers

Solution:

Given that,

Total number of faculty = 228

Let, the number of professors be p, then the number of lecturers will be 228 – p

They have 5 professors for every 14 lecturers.

Then, ratio of professors to lecturers is 5 : 14

Expressing the ratio as fractions, we get,

Plug in the values of number of professors and lecturers

So, community has 76 professors, then, it will have 288 – 76 = 212 lecturers.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.