# Banquet Hall Scenario

## Situation

Bob and his best friend Joey are deciding on which party to go to with their friends on Christmas Eve. The two parties are held at different banquet halls. Bob and Joey want to take their friends to which ever party is cheaper. The first banquet hall charges a fixed fee of \$20 and \$10 per person. The second banquet hall doesn't have fixed fee and charges \$14 per person.

## First Option

For the first option there is a fixed fee of \$20 and cost \$10/person.

C=10a+20 (C represents the total cost and E represents number of people attending)

## Second Option

For the second option there is no fixed fee and a cost of \$14/person.

C=14a (C represents the total cost and E represents number of people attending)

## Point Of Intersection

If 5 people are going , including Bob and Joey, then it would not matter which party they go to because the final cost would be \$70 in both scenarios.

## Conclusion

Bob and Joey should choose the first option if more than 5 people ( including them) are coming. They should choose the second option if less than 5 people ( including them) are coming.