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Jamal, a costume designer for the Dover City Opera, is making costumes for the chorus members in an upcoming performance. While costuming this group of singers, Jamal must keep costs below $1,400\$1,400. Male costumes cost $6\$6 to make and female costumes cost $25\$25.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of male costumes\newliney=y = the number of female costumes\newlineChoices:\newline(A) 25x−6y<1,40025x - 6y < 1,400\newline(B) 6x+25y<1,4006x + 25y < 1,400\newline(C) 6x×25y<1,4006x \times 25y < 1,400\newline(D) 25x+6y<1,40025x + 6y < 1,400

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Q. Jamal, a costume designer for the Dover City Opera, is making costumes for the chorus members in an upcoming performance. While costuming this group of singers, Jamal must keep costs below $1,400\$1,400. Male costumes cost $6\$6 to make and female costumes cost $25\$25.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of male costumes\newliney=y = the number of female costumes\newlineChoices:\newline(A) 25x−6y<1,40025x - 6y < 1,400\newline(B) 6x+25y<1,4006x + 25y < 1,400\newline(C) 6x×25y<1,4006x \times 25y < 1,400\newline(D) 25x+6y<1,40025x + 6y < 1,400
  1. Calculate individual costs: Determine the cost for one male costume and one female costume. The problem states that male costumes cost $6\$6 each and female costumes cost $25\$25 each. Therefore, the cost for xx male costumes is 6x6x dollars and the cost for yy female costumes is 25y25y dollars.
  2. Find total cost: Combine the costs to find the total cost for xx male costumes and yy female costumes. The total cost is the sum of the cost for male costumes and the cost for female costumes, which is 6x+25y6x + 25y dollars.
  3. Set budget constraint: Set up the inequality based on the budget constraint. Jamal must keep the total cost below $1,400\$1,400, so the inequality that represents this situation is 6x+25y<1,4006x + 25y < 1,400.
  4. Match inequality to choices: Match the inequality to the given choices. The correct inequality that represents the situation is 6x+25y<1,4006x + 25y < 1,400, which corresponds to choice (B).

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