Gary is baking pretzels for his sister’s party. Some pretzels will be regular and some pretzels will be whole grain.

Let x represent the number of dozens of regular pretzels.

Let y represent the number of dozens of whole-grain pretzels.

Gary needs to bake at least 14 dozen pretzels in all.

Gary has 20 cups of flour. He needs 2 cups of flour for each batch of 12 whole-grain pretzels and 1 cup of flour for each batch of 12 regular pretzels.

Select the constraints that correctly model the inequality

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calculista calculista · Answer 1 · 2019-02-28T04:04:50+01:00

Answer:

The constraints are

[tex]x+y\geq 14[/tex]

[tex]2y+x\leq 20[/tex]

[tex]x\geq 0[/tex]

[tex]y\geq 0[/tex]

Step-by-step explanation:

Let

x-------> the number of dozens of regular pretzels.

y-------> the number of dozens of whole-grain pretzels.

we know that

[tex]x+y\geq 14[/tex] --------> inequality A

[tex]2y+x\leq 20[/tex] -------> inequality B

[tex]x\geq 0[/tex] -------> inequality C (cannot be a negative number)

[tex]y\geq 0[/tex] ------> inequality D (cannot be a negative number)

The solution is the triangular shaded area

see the attached figure