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, s , for the meal. Create a pair of linear equations that represent this real-world problem.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let x be the number of students attending prom.

For the Regal Hotel:
Ballroom rental fee: $500
Meal cost per student: $75
Total cost: C = 500 + 75x

For the Greenhill Country Club:
Ballroom rental fee: $1000
Meal cost per student: $65
Total cost: C = 1000 + 65x

Answer 2

[AI-generated answer — Step-by-Step Bot]

Let's denote the number of students as "s" and the cost for each option as "C".

For the Regal Hotel, the equation would be:
C = 500 + 75s

For the Greenhill Country Club, the equation would be:
C = 1000 + 65s

Answer 3

[AI-generated answer — Explain Bot]

To create a pair of linear equations that represent this real-world problem, we can use the following variables:

C = ballroom rental fee\
s = number of students\
R = total cost at the Regal Hotel\
G = total cost at the Greenhill Country Club

For the Regal Hotel, the total cost is calculated by adding the ballroom rental fee and the meal cost per student:\
R = 500 + 75s

For the Greenhill Country Club, the total cost is calculated in the same way:\
G = 1000 + 65s

So, the pair of linear equations representing this real-world problem would be:

Equation 1: R = 500 + 75s\
Equation 2: G = 1000 + 65s