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Sasha is knitting baby items to sell at a craft fair. She has a total of 1,6501,650 yards of yarn to use for the items. A pair of booties uses 198198 yards of yarn and a cap uses 201201 yards apiece.\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 booties Sasha can knit\newliney=y = the number of caps Sasha can knit\newline\newlineChoices:\newline(A) 198x + 201y < 1,650\newline(B) 198x - 201y < 1,650\newline(C) 198x+201y≤1,650198x + 201y \leq 1,650\newline(D) 198x−201y≤1,650198x - 201y \leq 1,650

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Q. Sasha is knitting baby items to sell at a craft fair. She has a total of 1,6501,650 yards of yarn to use for the items. A pair of booties uses 198198 yards of yarn and a cap uses 201201 yards apiece.\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 booties Sasha can knit\newliney=y = the number of caps Sasha can knit\newline\newlineChoices:\newline(A) 198x+201y<1,650198x + 201y < 1,650\newline(B) 198x−201y<1,650198x - 201y < 1,650\newline(C) 198x+201y≤1,650198x + 201y \leq 1,650\newline(D) 198x−201y≤1,650198x - 201y \leq 1,650
  1. Determine yarn amounts: Determine the amount of yarn used per item. Sasha uses 198198 yards of yarn for a pair of booties and 201201 yards for a cap. The variables given are xx for the number of pairs of booties and yy for the number of caps.
  2. Write total yarn expression: Write an expression for the total amount of yarn used. The total yarn used for booties is 198198 yards per pair times the number of pairs, which is 198x198x. The total yarn used for caps is 201201 yards per cap times the number of caps, which is 201y201y.
  3. Combine yarn expressions: Combine the expressions for the total yarn used. Since Sasha has a total of 1,6501,650 yards of yarn, the sum of the yarn used for booties and caps must be less than or equal to this amount. The inequality representing this situation is 198x+201y≤1,650198x + 201y \leq 1,650.
  4. Choose correct inequality: Choose the correct inequality from the given choices. The inequality we derived is 198x+201y≤1,650198x + 201y \leq 1,650, which matches choice (C).

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