Respuesta :
Answer:
\[y < = 300\]
Step-by-step explanation:
Let x = number of out-of-state students at the college
Let y = number of in-state students at the college
As per the given problem, the constraints are as follows:
\[x < = 100\] --------- (1)
\[y = 3 * x\] --------- (2)
From the given equations (2), \[ x = y/3 \]
Substituting in (1):
\[y/3 < = 100\]
Or, \[y < = 300\] which is the constraint representing the incoming students.
Answer:
Constraint that represents the incoming students at the college is
y ≤ 300
Step-by-step explanation:
It is given in this question that a college is currently accepting both in-state and out of state students where,
y = Number of in-state students
x = Number of out-of-state students
Their plan is to accept three times as many in students as out of state
Which is represented by he equation y = 3x
x = [tex]\frac{y}{3}[/tex]
College has space for 100 out-of-state students only, so the inequality which represents this situation will be
x ≤ 100
Now the constraint to represent the incoming students in the college will be
[tex]\frac{y}{3}\leq 100[/tex]
y ≤ 300
Therefore, constraint that represents the incoming students at the college is y ≤ 300
