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Gabby is determining the seating arrangement for her big graduation party. Circular tables can seat 1010 guests and rectangular tables can seat 99 guests. Together, they must seat at least 141141 guests, the number expected.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of circular tables\newliney=y = the number of rectangular tables\newlineChoices:\newline(A) 10x + 9y > 141\newline(B) 10x - 9y > 141\newline(C) 10x×9y≥14110x \times 9y \geq 141\newline(D) 10x+9y≥14110x + 9y \geq 141

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Q. Gabby is determining the seating arrangement for her big graduation party. Circular tables can seat 1010 guests and rectangular tables can seat 99 guests. Together, they must seat at least 141141 guests, the number expected.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of circular tables\newliney=y = the number of rectangular tables\newlineChoices:\newline(A) 10x+9y>14110x + 9y > 141\newline(B) 10x−9y>14110x - 9y > 141\newline(C) 10x×9y≥14110x \times 9y \geq 141\newline(D) 10x+9y≥14110x + 9y \geq 141
  1. Calculate Circular Table Contribution: Determine the contribution of each circular table to the seating capacity. Since each circular table can seat 1010 guests, and the number of circular tables is represented by xx, the total number of guests seated at circular tables is 10x10x.
  2. Calculate Rectangular Table Contribution: Determine the contribution of each rectangular table to the seating capacity. Since each rectangular table can seat 99 guests, and the number of rectangular tables is represented by yy, the total number of guests seated at rectangular tables is 9y9y.
  3. Find Total Seating Capacity: Combine the contributions from both types of tables to find the total seating capacity. The total number of guests that can be seated is the sum of guests seated at circular tables and guests seated at rectangular tables, which is 10x+9y10x + 9y.
  4. Set Minimum Guest Requirement Inequality: Since Gabby needs to seat at least 141141 guests, the inequality must reflect that the total number of guests seated is greater than or equal to 141141. Therefore, the inequality is 10x+9y≥14110x + 9y \geq 141.

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