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Darell, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. He doesn't want to spend more than $430\$430 total for his purchases. He can get the rakes at a cost of $11\$11 apiece and the shovels at a cost of $18\$18 apiece.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of rakes ordered\newliney=y = the number of shovels ordered\newlineChoices:\newline(A) 18x+11y≥43018x + 11y \geq 430\newline(B) 11x+18y≤43011x + 18y \leq 430\newline(C) 11x+18y≥43011x + 18y \geq 430\newline(D) 18x+11y≤43018x + 11y \leq 430

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Q. Darell, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. He doesn't want to spend more than $430\$430 total for his purchases. He can get the rakes at a cost of $11\$11 apiece and the shovels at a cost of $18\$18 apiece.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of rakes ordered\newliney=y = the number of shovels ordered\newlineChoices:\newline(A) 18x+11y≥43018x + 11y \geq 430\newline(B) 11x+18y≤43011x + 18y \leq 430\newline(C) 11x+18y≥43011x + 18y \geq 430\newline(D) 18x+11y≤43018x + 11y \leq 430
  1. Calculate Total Cost: Darell can purchase rakes at $11\$11 each and shovels at $18\$18 each. The number of rakes ordered is represented by xx, and the number of shovels ordered is represented by yy. To find the total cost, we multiply the number of rakes by the cost per rake and the number of shovels by the cost per shovel and add these amounts together. This gives us the expression 11x+18y11x + 18y for the total cost of rakes and shovels.
  2. Set Spending Limit: Darell does not want to spend more than $430\$430. Therefore, the total cost of rakes and shovels, which is 11x+18y11x + 18y, must be less than or equal to $430\$430. This inequality represents the condition that the total cost must not exceed $430\$430.
  3. Formulate Inequality: The inequality that correctly represents this situation is 11x+18y≤43011x + 18y \leq 430. This inequality is in standard form and shows that the total cost for xx rakes at $11\$11 each and yy shovels at $18\$18 each must be less than or equal to $430\$430.

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