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A hotel buyer is ordering new towels for all of the rooms in the hotel. Hand towels cost $2\$2 apiece and bath towels cost $4\$4. The total expenditure must be under $4,200\$4,200.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of hand towels ordered\newliney=y = the number of bath towels ordered\newlineChoices:\newline(A) 4x + 2y < 4,200\newline(B) 4x+2y≤4,2004x + 2y \leq 4,200\newline(C) 2x+4y≤4,2002x + 4y \leq 4,200\newline(D) 2x + 4y < 4,200

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Q. A hotel buyer is ordering new towels for all of the rooms in the hotel. Hand towels cost $2\$2 apiece and bath towels cost $4\$4. The total expenditure must be under $4,200\$4,200.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of hand towels ordered\newliney=y = the number of bath towels ordered\newlineChoices:\newline(A) 4x+2y<4,2004x + 2y < 4,200\newline(B) 4x+2y≤4,2004x + 2y \leq 4,200\newline(C) 2x+4y≤4,2002x + 4y \leq 4,200\newline(D) 2x+4y<4,2002x + 4y < 4,200
  1. Calculate Hand Towel Cost: Determine the cost per hand towel and the number of hand towels ordered. Hand towels cost $2\$2 each, and the number of hand towels ordered is represented by xx. Therefore, the total cost for hand towels is 2x2x.
  2. Calculate Bath Towel Cost: Determine the cost per bath towel and the number of bath towels ordered. Bath towels cost $4\$4 each, and the number of bath towels ordered is represented by yy. Therefore, the total cost for bath towels is 4y4y.
  3. Combine Total Costs: Combine the total costs for hand towels and bath towels to represent the total expenditure. The total expenditure is the sum of the cost of hand towels and bath towels, which is 2x+4y2x + 4y.
  4. Set Total Expenditure Limit: The total expenditure must be under $4,200\$4,200. This means the combined cost of hand towels and bath towels must be less than $4,200\$4,200. Therefore, the inequality that represents this situation is 2x + 4y < 4,200.

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