Question

A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

Answer 1

0 < x ≤ 200 and 0 < y ≤ 400

Explanation:

took test

Answer 2

0 < x ≤ 200 and 0 < y ≤ 400

Explanation:

We are told that they only have space to accept 200 out-of-state students.

Also that they plan to accept two times as many in-state students as out-of-state.

Now, x = the number of out-of-state students and y = the number in-state students

Thus;

maximum number of out-of-state students:x_max 200

maximum number of in-state students: y_max = 2 × 200 = 400

Now, to Write the constraints, we know that maximum number of x is 200 and minimum will be greater than zero students since at least one out-of-state will be accepted.

Thus;

0 < x ≤ 200

Similarly, for in-state students;

0 < y ≤ 400