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Jayla is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under $1,100\$1,100. A band can play for part of the time at an hourly rate of $120\$120, and a DJ can play for the remaining time at an hourly rate of $80\$80.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of hours the band will play\newliney=y = the number of hours the DJ will play\newlineChoices:\newline(A) 80+x+120+y<1,10080 + x + 120 + y < 1,100\newline(B) 120+x+80+y<1,100120 + x + 80 + y < 1,100\newline(C) 120x+80y<1,100120x + 80y < 1,100\newline(D) 80x+120y<1,10080x + 120y < 1,100

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Q. Jayla is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under $1,100\$1,100. A band can play for part of the time at an hourly rate of $120\$120, and a DJ can play for the remaining time at an hourly rate of $80\$80.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of hours the band will play\newliney=y = the number of hours the DJ will play\newlineChoices:\newline(A) 80+x+120+y<1,10080 + x + 120 + y < 1,100\newline(B) 120+x+80+y<1,100120 + x + 80 + y < 1,100\newline(C) 120x+80y<1,100120x + 80y < 1,100\newline(D) 80x+120y<1,10080x + 120y < 1,100
  1. Identify Cost Rates: Identify the cost per hour for the band and the DJ. The band costs $120\$120 per hour, and the DJ costs $80\$80 per hour. These rates are given in the problem statement.
  2. Define Variables: Define the variables for the number of hours the band and the DJ will play. According to the problem, xx represents the number of hours the band will play, and yy represents the number of hours the DJ will play.
  3. Band Total Cost: Write the expression for the total cost of the band. The total cost for the band is the band's hourly rate multiplied by the number of hours they play, which is 120x120x.
  4. DJ Total Cost: Write the expression for the total cost of the DJ. The total cost for the DJ is the DJ's hourly rate multiplied by the number of hours they play, which is 80y80y.
  5. Combine Total Costs: Combine the expressions for the total cost of the band and the DJ to get the total cost of the entertainment. The total cost is the sum of the cost for the band and the DJ, which is 120x+80y120x + 80y.
  6. Budget Constraint Inequality: Set up the inequality based on the budget constraint. Jayla wants to keep the total cost under $1,100\$1,100, so the inequality that represents this situation is 120x+80y<1,100120x + 80y < 1,100.

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