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Vincent is printing out copies of a presentation. It takes 33 minutes to print a color copy and 11 minute to print a black-and-white one. He wants to spend under 4747 minutes on printing.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of color copies\newliney=y = the number of black-and-white copies\newlineChoices:\newline(A) 3 + x + 1 + y < 47\newline(B) 3+x+1+y473 + x + 1 + y \leq 47\newline(C) 3x+y473x + y \leq 47\newline(D) 3x + y < 47

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Q. Vincent is printing out copies of a presentation. It takes 33 minutes to print a color copy and 11 minute to print a black-and-white one. He wants to spend under 4747 minutes on printing.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of color copies\newliney=y = the number of black-and-white copies\newlineChoices:\newline(A) 3+x+1+y<473 + x + 1 + y < 47\newline(B) 3+x+1+y473 + x + 1 + y \leq 47\newline(C) 3x+y473x + y \leq 47\newline(D) 3x+y<473x + y < 47
  1. Determine Time for Color Copies: Determine the time taken to print each type of copy.\newlineTime to print one color copy: 33 minutes\newlineNumber of color copies: xx\newlineTime to print color copies: 33 minutes/copy ×\times xx copies = 3x3x minutes
  2. Determine Time for B&W Copies: Determine the time taken to print black-and-white copies.\newlineTime to print one black-and-white copy: 11 minute\newlineNumber of black-and-white copies: yy\newlineTime to print black-and-white copies: 11 minute/copy ×\times yy copies = yy minutes
  3. Combine Total Printing Time: Combine the times for both types of copies to find the total time spent printing.\newlineTotal time spent printing: Time for color copies + Time for black-and-white copies\newlineTotal time spent printing: 3x3x minutes + yy minutes
  4. Formulate Time Constraint Inequality: Formulate the inequality based on Vincent's time constraint.\newlineVincent wants to spend under 4747 minutes on printing.\newlineThe inequality representing this situation is: 3x3x minutes + yy minutes < 4747 minutes
  5. Choose Correct Inequality: Choose the correct inequality from the given choices.\newlineThe correct inequality in standard form is: 3x + y < 47\newlineThis matches choice (D)(D).

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