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Mrs. Avila is ordering senior portraits of her son to send to their relatives. A medium photo costs $15\$15 and a large photo costs $34\$34. She wants to spend less than $430\$430 in total.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of medium photos\newliney=y = the number of large photos\newline\newlineChoices:\newline(A) 15x \cdot 34y < 430\newline(B) 15x + 34y < 430\newline(C) 15x−34y≤43015x - 34y \leq 430\newline(D) 15x+34y≤43015x + 34y \leq 430

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Q. Mrs. Avila is ordering senior portraits of her son to send to their relatives. A medium photo costs $15\$15 and a large photo costs $34\$34. She wants to spend less than $430\$430 in total.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of medium photos\newliney=y = the number of large photos\newline\newlineChoices:\newline(A) 15x⋅34y<43015x \cdot 34y < 430\newline(B) 15x+34y<43015x + 34y < 430\newline(C) 15x−34y≤43015x - 34y \leq 430\newline(D) 15x+34y≤43015x + 34y \leq 430
  1. Define cost for medium photos: Define the cost for each type of photo in terms of the variables given. The cost for medium photos is $15\$15 each, and the number of medium photos is represented by xx. Therefore, the total cost for medium photos is 15x15x.
  2. Define cost for large photos: Define the cost for large photos. The cost for large photos is $34\$34 each, and the number of large photos is represented by yy. Therefore, the total cost for large photos is 34y34y.
  3. Combine total cost: Combine the costs for medium and large photos to represent the total cost. The total cost is the sum of the cost for medium photos and the cost for large photos, which is 15x+34y15x + 34y.
  4. Apply budget constraint: Apply the budget constraint to the total cost. Mrs. Avila wants to spend less than $430\$430 in total, so the inequality that represents this situation is the total cost being less than $430\$430. Therefore, the inequality is 15x + 34y < 430.

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