Mathematics: Quiz: Step 4: 1-6: Lesson Graph the solution on the number line. 3(x + 3) - 2 4 or 1-xs-1

Givens: represents the number of out-of-state students. represents the number in-state students.The problem says that the college is planning to accept three times as many in-state students as out-of-state students. This is represented by the equation:Also, the problem states that they only have space to accept 100 out-of-state students, this means that has to be restricted: These means that the maximum amount of out-of-state students are 100, this also means that the maximum in-state students are...

Quiz: Step 4: 1-6: Lesson Graph the solution on

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20.08.2022

Mathematics

Givens:

represents the number of out-of-state students.

represents the number in-state students.

The problem says that the college is planning to accept three times as many in-state students as out-of-state students. This is represented by the equation:

y=3x

Also, the problem states that they only have space to accept 100 out-of-state students, this means that has to be restricted: $x\leq 100$

These means that the maximum amount of out-of-state students are 100, this also means that the maximum in-state students are 300, because the college is planning to have three times of these students.

At last, the final restrictions would be $x\geq 0 \ ; \ y\geq 0$ , because the number of students cannot be negative, it wouldn't make sense, we cannot say "there are -3 students".

Therefore, all restrictions are:

$x\leq 100$

$x\geq 0 \ ; \ y\geq 0$

y=3x

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Quiz: Step 4: 1-6: Lesson Graph the solution on the number line. 3(x + 3) - 2<4 or 1-xs-1

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