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's consider the total cost of holding the prom at the Regal Hotel as R_C and the total cost of holding the prom at the Greenhill Country Club as R_G.
For the prom at the Regal Hotel, the ballroom rental fee is $500 and the meal cost per student is $75, so the total cost can be calculated as:
R_C = 500 + 75s
For the prom at the Greenhill Country Club, the ballroom rental fee is $1000 and the meal cost per student is $65, so the total cost can be calculated as:
R_G = 1000 + 65s
Therefore, the pair of linear equations that represent this real-world problem are:
R_C = 500 + 75s
R_G = 1000 + 65s