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Denise is fixing up her home and must spend less than $5,700\$5,700 to hire carpenters and painters. Carpenters charge $44\$44 per hour and painters charge $36\$36 per hour.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of hours of carpentry\newliney=y = the number of hours of painting\newline\newlineChoices:\newline(A) 44x + 36y > 5,700\newline(B) 44x + 36y < 5,700\newline(C) 44 + x + 36 + y < 5,700\newline(D) 44 + x + 36 + y > 5,700

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Q. Denise is fixing up her home and must spend less than $5,700\$5,700 to hire carpenters and painters. Carpenters charge $44\$44 per hour and painters charge $36\$36 per hour.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of hours of carpentry\newliney=y = the number of hours of painting\newline\newlineChoices:\newline(A) 44x+36y>5,70044x + 36y > 5,700\newline(B) 44x+36y<5,70044x + 36y < 5,700\newline(C) 44+x+36+y<5,70044 + x + 36 + y < 5,700\newline(D) 44+x+36+y>5,70044 + x + 36 + y > 5,700
  1. Calculate Carpentry Cost: Determine the cost for carpentry services. Denise hires carpenters at a rate of $44\$44 per hour. If xx represents the number of hours of carpentry, then the total cost for carpentry is 4444 times xx, which is 44x44x.
  2. Calculate Painting Cost: Determine the cost for painting services. Denise hires painters at a rate of $36\$36 per hour. If yy represents the number of hours of painting, then the total cost for painting is 3636 times yy, which is 36y36y.
  3. Combine Total Costs: Combine the costs for carpentry and painting to represent the total cost. The total cost for both services is the sum of the cost for carpentry and the cost for painting, which is 44x+36y44x + 36y.
  4. Formulate Budget Inequality: Formulate the inequality based on the budget constraint. Denise wants to spend less than $5,700\$5,700 for both services combined. Therefore, the inequality that represents this situation is that the total cost 44x+36y44x + 36y must be less than $5,700\$5,700. So, the inequality is 44x + 36y < 5,700.

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