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

Question

Noel

Mathematics

7 July, 06:33

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

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Marisol Evans · Answer 1

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)