Question

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

Answer 1

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