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A party planner is reserving rooms for a corporate event and has at most $1,900\$1,900 to spend on renting the space. The Sunrise Room costs $130\$130 per hour and the Twilight Room costs $190\$190 per hour.\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 Sunrise Room is reserved\newliney=y = the number of hours the Twilight Room is reserved\newlineChoices:\newline(A) 190x+130y≤1,900190x + 130y \leq 1,900\newline(B) 130x+190y≤1,900130x + 190y \leq 1,900\newline(C) 130x−190y≤1,900130x - 190y \leq 1,900\newline(D) 190x×130y≤1,900190x \times 130y \leq 1,900

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Q. A party planner is reserving rooms for a corporate event and has at most $1,900\$1,900 to spend on renting the space. The Sunrise Room costs $130\$130 per hour and the Twilight Room costs $190\$190 per hour.\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 Sunrise Room is reserved\newliney=y = the number of hours the Twilight Room is reserved\newlineChoices:\newline(A) 190x+130y≤1,900190x + 130y \leq 1,900\newline(B) 130x+190y≤1,900130x + 190y \leq 1,900\newline(C) 130x−190y≤1,900130x - 190y \leq 1,900\newline(D) 190x×130y≤1,900190x \times 130y \leq 1,900
  1. Calculate Costs and Budget: Determine the cost per hour for each room and the total budget.\newlineThe party planner has a budget of at most $1,900\$1,900. The cost per hour for the Sunrise Room is $130\$130, and the cost for the Twilight Room is $190\$190 per hour.
  2. Define Reservation Variables: Define the variables for the number of hours each room is reserved.\newlineLet xx be the number of hours the Sunrise Room is reserved, and yy be the number of hours the Twilight Room is reserved.
  3. Write Total Cost Inequality: Write the inequality that represents the total cost of renting both rooms within the budget.\newlineThe total cost of renting both rooms should be less than or equal to the budget of $1,900\$1,900. Therefore, the inequality will be the sum of the products of the number of hours each room is reserved and their respective costs, which should be less than or equal to $1,900\$1,900.\newlineSo, the inequality is 130x130x (cost per hour of the Sunrise Room times the number of hours it is reserved) plus 190y190y (cost per hour of the Twilight Room times the number of hours it is reserved) should be less than or equal to $1,900\$1,900.
  4. Convert to Standard Form: Write the inequality in standard form.\newlineThe inequality in standard form is:\newline130x+190y≤1,900130x + 190y \leq 1,900
  5. Match Correct Inequality: Match the correct inequality from the given choices.\newlineThe correct inequality that matches our derived inequality is:\newline(B) 130x+190y≤1,900130x + 190y \leq 1,900

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