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Cody, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. He doesn't want to spend more than $390\$390 total for his purchases. He can get the rakes at a cost of $11\$11 apiece and the shovels at a cost of $23\$23 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) 11x+23y>39011x + 23y > 390\newline(B) 11x+23y<39011x + 23y < 390\newline(C) 11x+23y≥39011x + 23y \geq 390\newline(D) 11x+23y≤39011x + 23y \leq 390

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Q. Cody, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. He doesn't want to spend more than $390\$390 total for his purchases. He can get the rakes at a cost of $11\$11 apiece and the shovels at a cost of $23\$23 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) 11x+23y>39011x + 23y > 390\newline(B) 11x+23y<39011x + 23y < 390\newline(C) 11x+23y≥39011x + 23y \geq 390\newline(D) 11x+23y≤39011x + 23y \leq 390
  1. Calculate Costs: Determine the cost for one rake and one shovel.\newlineCody can buy rakes at $11\$11 each and shovels at $23\$23 each. Therefore, the cost for xx rakes is 11x11x dollars and the cost for yy shovels is 23y23y dollars.
  2. Combine Total Spending: Combine the costs to represent the total spending.\newlineThe total cost for rakes and shovels combined is the sum of the cost for rakes and the cost for shovels, which is 11x+23y11x + 23y dollars.
  3. Set Spending Limit Inequality: Set up the inequality based on Cody's spending limit.\newlineCody does not want to spend more than $390\$390. This means the total cost for rakes and shovels must be less than or equal to $390\$390. The inequality that represents this situation is 11x+23y≤39011x + 23y \leq 390.
  4. Choose Correct Inequality: Choose the correct inequality from the given choices.\newlineThe correct inequality that represents Cody's spending limit is (D)\newline11x+23y≤39011x + 23y \leq 390, as it correctly states that the total cost for rakes and shovels should be less than or equal to $390\$390.

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