Real world systems of equations QuickChek the senior class at Hartford high school is planning their prom they've narrowed the location down to two choices the regal hotel charges C500 $ for the ballroom rental fee and $75 per student S for the meal the green hill country club charges see $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

1 answer

Let's use C to represent the number of students attending the prom.

For the Regal Hotel:
Total cost = C(75) + 500

For the Green Hill Country Club:
Total cost = C(65) + 1000

So, the pair of linear equations that represent this problem are:
1) Total cost at the Regal Hotel: C(75) + 500
2) Total cost at the Green Hill Country Club: C(65) + 1000