Acollege 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.

0 < x ≤ 100 and 0 < y ≤ 300
x > 0 and y > 0
0 < x ≤ 100 and y > 300
0 < x and y < 100

Step-by-step explanation:

Given:

Maximum number of out-of-state students,

Maximum number of in-state students,

Therefore, the range of out-of-state students can be anywhere between a number greater than 0 but less than or equal to 100 as this is maximum limit.

In order to get the interval for , we multiply the above by 3 throughout.

But . Therefore,

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

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