Question
A party planner is reserving rooms for a corporate event and has at most $1,200 to spend on renting the space. The Sunrise Room costs $130 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
Answers
GPT-4o mini
To set up the inequality that describes the costs associated with renting the Sunrise Room and the Twilight Room, we need to express the total cost of renting both rooms in terms of the variables \(x\) (the number of hours the Sunrise Room is reserved) and \(y\) (the number of hours the Twilight Room is reserved).
The cost for renting the Sunrise Room is given by \(130x\) (since it costs $130 per hour), and the cost for renting the Twilight Room is \(290y\) (since it costs $290 per hour).
The total cost should not exceed $1200, which gives us the inequality:
\[
130x + 290y \leq 1200
\]
This is the inequality in standard form describing the party planner's budget situation.
The cost for renting the Sunrise Room is given by \(130x\) (since it costs $130 per hour), and the cost for renting the Twilight Room is \(290y\) (since it costs $290 per hour).
The total cost should not exceed $1200, which gives us the inequality:
\[
130x + 290y \leq 1200
\]
This is the inequality in standard form describing the party planner's budget situation.