Respuesta :

Answer:

a) 0≤x≤100 ; 0≤y≤300

Step-by-step explanation:

Here we are given that

x is the number of out state students

y is the number of in state students

Also , the number of in state students are 3 times that of out state students. Hence

y=3x

Now . we are given with the condition that the maximum space for the out state students is 100.

Hence

x≤100

or

0≤x≤100

Multiplying all three sides with 3 we get

[tex]3 \times 0≤3 \ times x≤3 \times 100[/tex]

0≤3x≤300

0≤y≤300

Hence we have our required constraint for the in state and the out state students.