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Ms. Jones, the head librarian at the Shelby County Library, can spend at most $3,300\$3,300 to expand the children's section of the library. When she buys from a particular discount seller, paperback books cost $5\$5 each and hardback books cost $21\$21 each.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of paperback books\newliney=y = the number of hardback books\newlineChoices:\newline(A) 5x+21y≥3,3005x + 21y \geq 3,300\newline(B) 5x+21y≤3,3005x + 21y \leq 3,300\newline(C) 5x + 21y > 3,300\newline(D) 5x + 21y < 3,300

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Q. Ms. Jones, the head librarian at the Shelby County Library, can spend at most $3,300\$3,300 to expand the children's section of the library. When she buys from a particular discount seller, paperback books cost $5\$5 each and hardback books cost $21\$21 each.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of paperback books\newliney=y = the number of hardback books\newlineChoices:\newline(A) 5x+21y≥3,3005x + 21y \geq 3,300\newline(B) 5x+21y≤3,3005x + 21y \leq 3,300\newline(C) 5x+21y>3,3005x + 21y > 3,300\newline(D) 5x+21y<3,3005x + 21y < 3,300
  1. Determine Cost and Budget: Determine the cost per item and the budget constraint.\newlineMs. Jones can spend at most $3,300\$3,300 on books. Paperback books cost $5\$5 each, and hardback books cost $21\$21 each. We need to find an inequality that represents the situation where the total cost of paperback and hardback books does not exceed the budget.
  2. Define Variables: Define the variables for the number of books.\newlineLet xx be the number of paperback books and yy be the number of hardback books that Ms. Jones can purchase.
  3. Write Total Cost Inequality: Write the inequality that represents the total cost of books.\newlineThe total cost of paperback books is 5x5x dollars, and the total cost of hardback books is 21y21y dollars. The sum of these costs should be less than or equal to the budget of $3,300\$3,300. Therefore, the inequality is:\newline5x+21y≤3,3005x + 21y \leq 3,300

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