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Shelby has a lemonade stand in her front yard. She has enough supplies to make a maximum of 192 ounces of lemonade. A large cup holds 14 ounces of lemonade and a small cup holds 8 ounces of lemonade. x = number of large cups y = number of small cups Which inequality in standard form represents this situation? A) 14 + x + 8 + y ≥ 192 B) 14 + x + 8 + y ≤ 192 C) 14x + 8y ≥ 192 D) 14x + 8y ≤ 192

Respuesta :

Considering the capacity of each cup, the inequality that models the situation is:

D) 14x + 8y ≤ 192

  • A large cup holds 14 ounces of lemonade.
  • There are x large cups.
  • A small cup holds 8 ounces of lemonade.
  • There are y small cups.

From the bullet-point, the total amount that can be held is:

[tex]T = 14x + 8y[/tex]

She has enough supplies to make a maximum of 192 ounces of lemonade, hence:

[tex]T \leq 192[/tex]

[tex]14x + 8y \leq 192[/tex]

Hence option D is correct.

To learn more about inequalities, you can take a look at https://brainly.com/question/25738340

Answer:

D

Step-by-step explanation:

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