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

Answer 1

To set up the inequality for the situation described, we can follow these steps:

1. Identify the costs associated with each room:
- The cost for the Sunrise Room: $180 per hour
- The cost for the Twilight Room: $290 per hour

2. Let \( x \) be the number of hours the Sunrise Room is reserved, and \( y \) be the number of hours the Twilight Room is reserved.

3. The total cost for renting the rooms can be expressed as:
\[
180x + 290y
\]

4. The total cost must be less than or equal to the budget of $1,300:
\[
180x + 290y \leq 1300
\]

To express this inequality in standard form, we can rearrange it as:
\[
180x + 290y - 1300 \leq 0
\]

This is the inequality in standard form that describes the situation regarding the rental costs for the rooms.