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As part of a landscaping project, Mr. Kerr is purchasing plants from a garden center. It will cost $36\$36 to buy a mature tree, versus $8\$8 for a young one. His target is to keep the cost under $1,100\$1,100.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of mature trees\newliney=y = the number of young trees\newlineChoices:\newline(A) 36x + 8y > 1,100\newline(B) 36x + 8y < 1,100\newline(C) 8x + 36y > 1,100\newline(D) 8x + 36y < 1,100

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Q. As part of a landscaping project, Mr. Kerr is purchasing plants from a garden center. It will cost $36\$36 to buy a mature tree, versus $8\$8 for a young one. His target is to keep the cost under $1,100\$1,100.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of mature trees\newliney=y = the number of young trees\newlineChoices:\newline(A) 36x+8y>1,10036x + 8y > 1,100\newline(B) 36x+8y<1,10036x + 8y < 1,100\newline(C) 8x+36y>1,1008x + 36y > 1,100\newline(D) 8x+36y<1,1008x + 36y < 1,100
  1. Determine Cost per Tree: Determine the cost per mature tree and represent it with the variable xx. Since mature trees cost $36\$36 each, the total cost for mature trees is 36x36x.
  2. Calculate Total Cost: Determine the cost per young tree and represent it with the variable yy. Since young trees cost $8\$8 each, the total cost for young trees is 8y8y.
  3. Set Cost Limit: Combine the costs for mature and young trees to represent the total cost. The total cost is the sum of the cost of mature trees and the cost of young trees, which is 36x+8y36x + 8y.
  4. Formulate Inequality: Mr. Kerr wants to keep the total cost under $1,100\$1,100. This means the combined cost of mature and young trees must be less than $1,100\$1,100. Therefore, the inequality that represents this situation is 36x + 8y < 1,100.

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