The senior class at Hartford high school is planning their prom. They have 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, $1000 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 represent the number of students attending the prom as "s" and the cost in dollars as "c".
For the Regal Hotel:
The ballroom rental fee is $500, so the cost without meals is represented by the equation: c = 500.
The cost of the meal per student is $75, so the cost for meals is represented by the equation: s = 75s.
For the Greenhill Country Club:
The ballroom rental fee is $1000, so the cost without meals is represented by the equation: c = 1000.
The cost of the meal per student is $65, so the cost for meals is represented by the equation: s = 65s.
So the pair of linear equations that represent this real-world problem are:
1) For the Regal Hotel:
c = 500 + 75s
2) For the Greenhill Country Club:
c = 1000 + 65s