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, 8, for the meal. create a pair of linear equations that represent this real- world problem.

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, 8, for the meal. create a pair of linear equations that represent this real- world problem.

Answer 1

Let's create the pair of linear equations.

Let x represent the number of students attending the prom.

Equation 1 for the Regal Hotel:
Cost at the Regal Hotel = Ballroom rental fee + Meal cost for each student
C = 500 + 75s

Equation 2 for the Greenhill Country Club:
Cost at Greenhill Country Club = Ballroom rental fee + Meal cost for each student
C = 1000 + 65s

So, the pair of linear equations representing this real-world problem are:
1) C = 500 + 75s
2) C = 1000 + 65s