Question

Hi, can someone lead to me the correct awnser?

A college is currently accepting students that are both in-state and out-of-state. They plan to accept three 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 = the number in-state students. Write the constraints to represent the incoming students at the college.

Answer 1

recall that constraints are limits on what values a variable can take. in this case you have two variables (x = the number of out of state students, and y = the number of in-state students).

it also tells you that: 1. they will accept three times as many in-state students as out of state, and 2. they can only accept at most 100 out of state students.

can you try writing statements 1 and 2 in terms of x and y? for example, for 2, if they can only accept at most 100 out of state students, that must mean x must be less than or equal to 100. because x represents the number of students, x can not be negative.

Answer 2

review expressions/inequalities when you get a chance

the ≤ means less than or equal to.

if x, the number of out of state students, must be greater or equal to 0, and less than/equal to 100, we can write this as 0≤x≤100.

now, it tells us that 1. they will accept three times as many in-state students as out of state, that means y = 3x. (y is 3 times x). if the minimum value of x is 0, what's the minimum value of y?