Question

the senier 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 green hill 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 represents this real world problem.

Answer 1

Let's define the variables:

C = ballroom rental fee
S = cost per student for the meal

For the Regal Hotel:
The ballroom rental fee is $500, so the equation is:

C(regal) = 500

The cost per student for the meal is $75, so the equation is:

S(regal) = 75

For the Green Hill Country Club:
The ballroom rental fee is $1000, so the equation is:

C(green hill) = 1000

The cost per student for the meal is $65, so the equation is:

S(green hill) = 65

Therefore, the pair of linear equations that represents this real-world problem is:

C(regal) = 500
S(regal) = 75

C(green hill) = 1000
S(green hill) = 65