Question
A party planner is reserving rooms for a corporate event and has at most $1,300 to spend on renting the space. The Sunrise Room costs $180 per hour and the Twilight Room costs $290 per hour.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of hours the Sunrise Room is reserved
y = the number of hours the Twilight Room is reserved
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of hours the Sunrise Room is reserved
y = the number of hours the Twilight Room is reserved
Answers
GPT-4o mini
To model the situation, we need to account for the costs of reserving the rooms in terms of the number of hours each room is reserved.
The cost to rent the Sunrise Room for \( x \) hours is \( 180x \) (since it costs $180 per hour).
The cost to rent the Twilight Room for \( y \) hours is \( 290y \) (since it costs $290 per hour).
Since the total spending must be at most $1,300, we can express this mathematically with the following inequality:
\[ 180x + 290y \leq 1300 \]
This inequality describes the total cost of renting the rooms in terms of \( x \) and \( y \).
Thus, the inequality in standard form is:
\[
180x + 290y \leq 1300
\]
The cost to rent the Sunrise Room for \( x \) hours is \( 180x \) (since it costs $180 per hour).
The cost to rent the Twilight Room for \( y \) hours is \( 290y \) (since it costs $290 per hour).
Since the total spending must be at most $1,300, we can express this mathematically with the following inequality:
\[ 180x + 290y \leq 1300 \]
This inequality describes the total cost of renting the rooms in terms of \( x \) and \( y \).
Thus, the inequality in standard form is:
\[
180x + 290y \leq 1300
\]