# Painting Time!

### Who should you hire to paint your home?

There are main two painting companies in your city that you'd like to choose from, Modern Painters and Brampton Painters Inc. Modern Painters charges a flat fee of \$50 and an additional \$2.25 for every square foot painted. Brampton Painters Inc charges a flat fee of \$100 and charges \$1.50 per square ft. You want to know who to hire and under what circumstances you should hire them
The costs for both paint jobs would then be as followed.

## The costs of both paint jobs can be determined by:

Modern Painters:

C = 2.25p + 50

Brampton Painters Inc:

C = 1.5p + 100

*let C= the total cost

let p= the number of square feet painted

Here is a graphical representation of the costs for both paint jobs.

Modern Painters: Purple

Brampton Painters Inc: Green

As we can see, the two lines representing the costs intersect at about 67 (66.7) square feet, and both costing about \$200. This means that the costs for both paint jobs will be about the same if 67 square feet are painted.