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Scarlett, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. She doesn't want to spend more than $460\$460 total for her purchases. She can get the rakes at a cost of $8\$8 apiece and the shovels at a cost of $21\$21 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) 8x21y4608x - 21y \leq 460\newline(B) 8x+21y4608x + 21y \geq 460\newline(C) 8x+21y4608x + 21y \leq 460\newline(D) 8x×21y4608x \times 21y \geq 460

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Q. Scarlett, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. She doesn't want to spend more than $460\$460 total for her purchases. She can get the rakes at a cost of $8\$8 apiece and the shovels at a cost of $21\$21 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) 8x21y4608x - 21y \leq 460\newline(B) 8x+21y4608x + 21y \geq 460\newline(C) 8x+21y4608x + 21y \leq 460\newline(D) 8x×21y4608x \times 21y \geq 460
  1. Calculate Total Cost: Scarlett needs to calculate the total cost of rakes and shovels without exceeding her budget of $460\$460. The cost of one rake is $8\$8, and the cost of one shovel is $21\$21. We need to find an inequality that represents this situation using the variables xx for the number of rakes and yy for the number of shovels.\newlineTo calculate the total cost of the rakes, we multiply the number of rakes by the cost per rake:\newlineTotal cost of rakes = Cost per rake ×\times Number of rakes\newline= $8×x\$8 \times x\newline= 8x8x\newlineTo calculate the total cost of the shovels, we multiply the number of shovels by the cost per shovel:\newlineTotal cost of shovels = Cost per shovel ×\times Number of shovels\newline= $21×y\$21 \times y\newline= $8\$800\newlineThe total cost of rakes and shovels combined should not exceed $460\$460, so we add the total costs of rakes and shovels:\newlineTotal cost = Total cost of rakes + Total cost of shovels\newline= $8\$822\newlineThe inequality that represents Scarlett's budget constraint is:\newline$8\$833\newlineThis inequality shows that the combined cost of rakes and shovels should be less than or equal to $460\$460.

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