Pete’s Painting Company will charge a one-time fee of $60 for labor and $20 for each room painted. Carla’s Creative Colors will charge $40 a room but only $20 to hire workers. Write a function rule for Pete’s Painting Company in function notation. Write a function rule for Carla’s Creative Colors in function notation.

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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!

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