Carmen is making gift boxes for her friends. It takes her 10 minutes to pack a 4-pound treat box, and it takes her 15 minutes to pack a 2-pound game box. Carmen wants to spend no more than 100 minutes packing boxes, and she can only carry up to 50 pounds in her car.

This graph and system of inequalities represent this situation, where x represents the number of treat boxes and y represents the number of game boxes.
10x + 15y ≤ 100
4x + 2y ≤ 50

The inequalities represent this situation, where x represents the number of treat boxes and y represents the number of the game correct within the constraint limit.

What is a constraint?

When we concentrate on the objects for which the statement is true the objects that satisfy the constraint we can view any statement about certain mathematical objects as a constraint.

In another word, the constraint is the limiting line of an equation that consists of some variable.

The majority of mathematical exercises can be viewed as building projects where we are challenged to build a mathematical entity that complies with specific requirements.

The given formation of constraint is right since 10x will be a total number of times to pack the treat box and like that.

For more information about inequalities

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