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. (1 point)
A. Regal Hotel: C = 75s + 500; Greenhill Country Club: C = 65s + 1, 000
B. Regal Hotel: C = 75s + 1, 000; Greenhill Country Club: C = 65s + 500
C. Regal Hotel: C = 1, 000 + 75; Greenhill Country Club: C = 500s + 65
D. Regal Hotel: C = 500s + 75; Greenhill Country Club: C = 1, 000s + 65
The correct pair of linear equations that represent this real-world problem is:
A. Regal Hotel: C = 75s + 500; Greenhill Country Club: C = 65s + 1,000
The correct answer is:
A. Regal Hotel: C = 75s + 500; Greenhill Country Club: C = 65s + 1,000
To create a pair of linear equations that represent this real-world problem, we need to consider the costs for both the ballroom rental fee and the meal at each location.
Let's start with the Regal Hotel. The hotel charges a rental fee of $500 for the ballroom and $75 per student for the meal. We can represent the total cost, C, as a function of the number of students, s, attending the prom at the Regal Hotel. The equation would be:
C = 75s + 500
Now, let's consider the Greenhill Country Club. The club charges a rental fee of $1000 for the ballroom and $65 per student for the meal. We can represent the total cost, C, as a function of the number of students, s, attending the prom at the Greenhill Country Club. The equation would be:
C = 65s + 1000
Based on the given options, the pair of linear equations that represent this real-world problem is:
A. Regal Hotel: C = 75s + 500; Greenhill Country Club: C = 65s + 1,000