Vincent is printing out copies of a presentation. It takes 3 minutes to print a color copy and 1 minute to print a black-and-white one. He wants to spend under 47 minutes on printing.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of color copiesy= the number of black-and-white copiesChoices:(A) 3 + x + 1 + y < 47(B) 3+x+1+y≤47(C) 3x+y≤47(D) 3x + y < 47
Q. Vincent is printing out copies of a presentation. It takes 3 minutes to print a color copy and 1 minute to print a black-and-white one. He wants to spend under 47 minutes on printing.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of color copiesy= the number of black-and-white copiesChoices:(A) 3+x+1+y<47(B) 3+x+1+y≤47(C) 3x+y≤47(D) 3x+y<47
Determine Time for Color Copies: Determine the time taken to print each type of copy.Time to print one color copy: 3 minutesNumber of color copies: xTime to print color copies: 3 minutes/copy ×x copies = 3x minutes
Determine Time for B&W Copies: Determine the time taken to print black-and-white copies.Time to print one black-and-white copy: 1 minuteNumber of black-and-white copies: yTime to print black-and-white copies: 1 minute/copy ×y copies = y minutes
Combine Total Printing Time: Combine the times for both types of copies to find the total time spent printing.Total time spent printing: Time for color copies + Time for black-and-white copiesTotal time spent printing: 3x minutes + y minutes
Formulate Time Constraint Inequality: Formulate the inequality based on Vincent's time constraint.Vincent wants to spend under 47 minutes on printing.The inequality representing this situation is: 3x minutes + y minutes < 47 minutes
Choose Correct Inequality: Choose the correct inequality from the given choices.The correct inequality in standard form is: 3x + y < 47This matches choice (D).
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