Question
The senior class at Hartford High School is planning their prom. They’ve narrowed the location down to two choices. The Regal Hotel charges, C , $500 for the ballroom rental fee and $75 per student, s , for the meal. The Greenhill Country Club charges, C , $1,000 for the ballroom rental fee and $65 per student, s , for the meal. Create a pair of linear equations that represent this real-world problem.
Let x represent the number of students attending the prom.
For the Regal Hotel:
Total cost = 500 (ballroom rental fee) + 75s (cost per student)
Total cost = 500 + 75x
For the Greenhill Country Club:
Total cost = 1000 (ballroom rental fee) + 65s (cost per student)
Total cost = 1000 + 65x
Therefore, the pair of linear equations are:
1. Total cost at the Regal Hotel: C = 500 + 75s
2. Total cost at the Greenhill Country Club: C = 1000 + 65s