Real-World Systems of Equations Quick Check1 of 51 of 5 ItemsQuestionThe 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)ResponsesRegal Hotel: C=75s+1,000; Greenhill Country Club: C=65s+500 Regal Hotel: upper C equals 75 s plus 1,000 ; Greenhill Country Club: upper C equals 65 s plus 500Regal Hotel: C=1,000s+75; Greenhill Country Club: C=500s+65 Regal Hotel: upper C equals 1,000 s plus 75 ; Greenhill Country Club: upper C equals 500 s plus 65Regal Hotel: C=500s+75; Greenhill Country Club: C=1,000s+65 Regal Hotel: upper C equals 500 s plus 75 ; Greenhill Country Club: upper C equals 1,000 s plus 65Regal Hotel: C=75s+500; Greenhill Country Club: C=65s+1,000Regal Hotel: upper C equals 75 s plus 500 ; Greenhill Country Club: upper C equals 65 s plus 1,000
The correct answer is:
Regal Hotel: C=75s+1,000; Greenhill Country Club: C=65s+500
The correct pair of linear equations that represent this real-world problem is:
Regal Hotel: C=75s+1,000
Greenhill Country Club: C=65s+500
The problem states that the Regal Hotel charges $500 for the ballroom rental fee and $75 per student for the meal. To create a linear equation for this scenario, we use the variable C to represent the total cost at the Regal Hotel and the variable s to represent the number of students.
The equation for the Regal Hotel can be written as C = 75s + 500.
Similarly, it is stated that the Greenhill Country Club charges $1000 for the ballroom rental fee and $65 per student for the meal. Using the same variables, the equation for the Greenhill Country Club can be written as C = 65s + 1000.
Therefore, the correct pair of linear equations representing this real-world problem is:
Regal Hotel: C = 75s + 500;
Greenhill Country Club: C = 65s + 1000.
So, the correct response is:
Regal Hotel: C=75s+500; Greenhill Country Club: C=65s+1,000.