The correct pair of linear equations that represent the costs for the two venues, based on the information provided, can be formulated as follows:
-
For the Regal Hotel: \[ C = 75s + 500 \] This represents a $500 rental fee and $75 per student for the meal.
-
For the Greenhill Country Club: \[ C = 65s + 1,000 \] This represents a $1,000 rental fee and $65 per student for the meal.
Therefore, the answer is: Regal Hotel: C = 75s + 500; Greenhill Country Club: C = 65s + 1,000.