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Tom is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under $1,300\$1,300. A band can play for part of the time at an hourly rate of $180\$180, and a DJ can play for the remaining time at an hourly rate of $89\$89.\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) 89x+180y>1,30089x + 180y > 1,300\newline(B) 89x+180y<1,30089x + 180y < 1,300\newline(C) 180x+89y<1,300180x + 89y < 1,300\newline(D) 180x+89y>1,300180x + 89y > 1,300

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Q. Tom is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under $1,300\$1,300. A band can play for part of the time at an hourly rate of $180\$180, and a DJ can play for the remaining time at an hourly rate of $89\$89.\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) 89x+180y>1,30089x + 180y > 1,300\newline(B) 89x+180y<1,30089x + 180y < 1,300\newline(C) 180x+89y<1,300180x + 89y < 1,300\newline(D) 180x+89y>1,300180x + 89y > 1,300
  1. Band Cost Calculation: Determine the cost for the band.\newlineThe band's hourly rate is $180\$180.\newlineNumber of hours the band will play: xx\newlineTotal cost for the band: 180×x=180x180 \times x = 180x
  2. DJ Cost Calculation: Determine the cost for the DJ.\newlineThe DJ's hourly rate is $89\$89.\newlineNumber of hours the DJ will play: yy\newlineTotal cost for the DJ: 89×y=89y89 \times y = 89y
  3. Total Cost Inequality: Combine the costs to form an inequality.\newlineTom wants to keep the total cost under $1,300\$1,300.\newlineTotal cost for the band and DJ: 180x+89y180x + 89y\newlineThe inequality should reflect that the total cost should be less than $1,300\$1,300.\newlineInequality: 180x+89y<1,300180x + 89y < 1,300

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