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At a back-to-school sale at her favorite store, Karen can purchase any pair of pants for $17\$17 and any shirt for $10\$10. Her parents tell her that she can spend at most $360\$360 on these school clothes.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of pairs of pants\newliney=y = the number of shirts\newlineChoices:\newline(A) 17x×10y36017x \times 10y \leq 360\newline(B) 17x+10y36017x + 10y \leq 360\newline(C) 17x+10y36017x + 10y \geq 360\newline(D) 17x×10y36017x \times 10y \geq 360

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Q. At a back-to-school sale at her favorite store, Karen can purchase any pair of pants for $17\$17 and any shirt for $10\$10. Her parents tell her that she can spend at most $360\$360 on these school clothes.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of pairs of pants\newliney=y = the number of shirts\newlineChoices:\newline(A) 17x×10y36017x \times 10y \leq 360\newline(B) 17x+10y36017x + 10y \leq 360\newline(C) 17x+10y36017x + 10y \geq 360\newline(D) 17x×10y36017x \times 10y \geq 360
  1. Calculate Costs: Determine the cost for one pair of pants and one shirt. Karen can buy pants for $17\$17 each and shirts for $10\$10 each. The variables given are xx for the number of pairs of pants and yy for the number of shirts. Therefore, the cost for xx pairs of pants is 17x17x dollars and the cost for yy shirts is 10y10y dollars.
  2. Find Total Cost: Combine the costs to find the total cost. The total amount Karen can spend is the sum of the cost of pants and the cost of shirts, which is 17x+10y17x + 10y dollars.
  3. Apply Budget Constraint: Apply the budget constraint. Karen's parents have told her that she can spend at most $360\$360 on school clothes. This means the total cost of pants and shirts must be less than or equal to $360\$360. Therefore, the inequality that represents this situation is 17x+10y36017x + 10y \leq 360.
  4. Match Inequality: Match the inequality to the given choices. The correct inequality that represents Karen's situation is 17x+10y36017x + 10y \leq 360, which corresponds to choice (B)(B).

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