Question

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.

Answer 1

Pete's:
`f(x) = 20x + 60`

Carla's:
`f(x) = 40x + 20`

Explanation:

Let's assume that
`x` is the amount of rooms painted, and
`f(x)`

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
`x`, the amount of rooms painted.

This gets us the function
`f(x) = 20x + 60`

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
`x`, the amount of rooms painted.

So the function is
`f(x) = 40x + 20`.

Hope this helped!