Question

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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 = the number in-state students. Write the constraints to represent the incoming students at the college.

A) x > 0 and y > 0
B)0 < x ≤ 100 and 0 < y ≤ 400
C)0 < x ≤ 100 and y > 400
D)0 < x and y < 100

Answer 1

Inequalities help us to compare two unequal expressions. The correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given the plan to accept four times as many in-state students as out-of-state. Also, x = the number of out-of-state students and y = the number of in-state students. Therefore,

y = 4x

Since they only have space to accept 100 out-of-state students. Therefore, the value of x can be between 0 to 100, therefore, the value of y can be between 0 to 400. Thus, we can write the inequality for the given condition as,

0 < x ≤ 100 and 0 < y ≤ 400

Hence, the correct option is B.

Learn more about Inequality:

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