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

To create a pair of linear equations that represent the costs for the prom at each location, we need to account for both the fixed costs (rental fees) and the variable costs (meal costs per student).

1. For the Regal Hotel:

   • Rental fee = $500
   • Meal cost per student = $75
   • Total cost, \(C\), for \(s\) students can be expressed as: \[ C = 500 + 75s \]

2. For the Greenhill Country Club:

   • Rental fee = $1,000
   • Meal cost per student = $65
   • Total cost, \(C\), for \(s\) students can be expressed as: \[ C = 1000 + 65s \]

Thus, the correct equations are:

• Regal Hotel: \(C = 500 + 75s\)
• Greenhill Country Club: \(C = 1000 + 65s\)

This matches with none of the provided options directly, but based on the structure of the equations, if we assume the equations are meant to be presented with a standard format, we would express them as:

• Regal Hotel: \(C = 75s + 500\)
• Greenhill Country Club: \(C = 65s + 1000\)

Among the given options, the closest match in terms of format is:

Regal Hotel: \(C = 500s + 75\); Greenhill Country Club: \(C = 1000s + 65\).

However, the correct equations are as stated above. Always ensure to verify the equations based on fixed costs and variable rates.