# Banquet Halls

## Mississauga Convention Centre or Grand Banquet Hall?

Mississauga Banquet hall provides us with Plan A: The cost of renting the hall is \$150 and then charges your \$10 each person. Grand Banquet provides us with Plan B: The cost of renting the hall is \$100 but then charges you \$20 each person. Which plan would you choose?

## Equations and what they mean.

Plan A: C=10p+150

Plan B: C=20p+100

In both equations we see that there are two variables: C and p. C represents the total cost of the occasion and p represents the number of people.

Plan A and B are both partial variations because they have a straight up cost \$150 and \$100.

Plan B charges double for each person compared to Plan A.

y=mx+b form:

Plan A: y=10x+150. In this situation, m (slope) is 10 and y-intercept is 150.

Plan B; y=20x+100. In this situation, m (slope) is 20 and y-intercept is 100.

Ax+By+C=0 for:

Plan A: 10x-y+150=0

Plan B: 20x-y+100=0

## POI of the equations

10p+150=20p+100

50=10p

5=p

Substitute this into the equation

10(5)+150=50+150

y=200

(5,200) are the coordinates for the POI where 5 represents x and 200 represents y.

## Final Statement

The table of values evidently points out which Banquet hall is more practical based on the number of people you are inviting. If you are inviting less than 5 people, then Grand Banquet Hall is better (Plan B). If you are inviting more than 5 people then the Mississauga Convention Centre (Plan A) is a better option. The solution proves which venue is a better option by showing you a table of values and the it also shows when the cost would be the same.