Question

A college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of -state students. Let x = the number of out-of-state students and y = fhe number in-state students Write the constraints to represent the incoming students at the college

Answer 1

Answer:

The constraints are given as   x ≤ 100  , y ≤ 400

Total number of incoming in the college = (x+ y)

Step-by-step explanation:

x =   the number of out-of-state students and

y  =  the number in-state students

Number of out of state students that can be  accepted = 100

So, the Number of in-state students that can be expected

=  4( out of state students)

 = 4 x 100  = 400

So, the constraints are given as below,

      x ≤ 100

and y ≤ 400

and total number of incoming in the college = (x+ y)