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Layla is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under $\$650$ . A band can play for part of the time at an hourly rate of $\$150$ , and a DJ can play for the remaining time at an hourly rate of $\$65$ . Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x$ = the number of hours the band will play $\newline$ $y$ = the number of hours the DJ will play

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Write two-variable inequalities: word problems

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Q. Layla is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under

\$650

. A band can play for part of the time at an hourly rate of

\$150

, and a DJ can play for the remaining time at an hourly rate of

\$65

. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x

= the number of hours the band will play

\newline

y

= the number of hours the DJ will play

Calculate Band Cost: Reasoning: Calculate the total cost for the band. Calculation: $150x$ Math Error Check:
Calculate DJ Cost: Reasoning: Calculate the total cost for the DJ. Calculation: $65y$ Math Error Check:
Add Total Costs: Reasoning: Add the total costs for the band and the DJ. Calculation: $150x + 65y$ Math Error Check:
Check Total Cost Limit: Reasoning: The total cost must be under $\$$ $650$ . Calculation: 150x + 65y < 650 Math Error Check:

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