The inequality that best represents the scenario is x + 5y < 900.
given Vanessa has a $900 travel and lodging budget for her vacation. She found round-trip plane tickets for x dollars total, a hotel for y dollars per night, and free shuttle service between the airport and the hotel. If she plans to stay at the hotel for 5 nights, and she spends less than what she budgeted on travel and lodging
The inequality that best describes the scenario is:
x + 5y < 900
Let's break down the given information:
- The round-trip plane tickets cost x dollars in total.
- The hotel costs y dollars per night.
- Vanessa plans to stay at the hotel for 5 nights.
We need to find an inequality that represents Vanessa spending less than her budget of $900 on travel and lodging.
To do this, we add the cost of the plane tickets (x) to the cost of 5 nights at the hotel (5y) and set it to be less than 900:
x + 5y < 900
This inequality ensures that Vanessa's total expenditure on travel and lodging is less than $900.