Answer:
Pete's: [tex]f(x) = 20x + 60[/tex]
Carla's: [tex]f(x) = 40x + 20[/tex]
Step-by-step explanation:
Let's assume that [tex]x[/tex] is the amount of rooms painted, and [tex]f(x)[/tex]
For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.
They also charge 20$ per room, meaning that we will multiply 20 by [tex]x[/tex], the amount of rooms painted.
This gets us the function [tex]f(x) = 20x + 60[/tex]
For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.
They also charge $40 a room, meaning we will multiply 40 by [tex]x[/tex], the amount of rooms painted.
So the function is [tex]f(x) = 40x + 20[/tex].
Hope this helped!