Question

Using data compiled by the Admissions Office at an imaginary university, college admissions officers estimate that 65% of the students who are offered admissions to the freshman class at the university will actually enroll.

(a) Find an equation that expresses the relationship between the number of students who actually enroll (y) and the number of students who are offered admission to the university (x).



(b) If the desired freshman class size for the upcoming academic year is 1300 students, how many students should be admitted?
students

Answer 1

a) y= 0.65x

b) 2000

Explanation:

a) If x=the number of students who are offered admission to the university and y =the number of students who actually enroll the ratio y/x= 65/100

So if we multiply both sides by x, we will get y=0.65 x

b) If y= 0.65x and we want y= 1300, replace this into the equation , then we have
`(1300)/(x) = 0.65`

Then x=
`(1300)/(0.65)`, that is x= 2000