Question

You are choosing between two different window washing companies. The first charges $5 per window. the second charges a base fee of $40 plus $3 per window. How many windows would you need to have for the second company to be preferable?

Answer 1

Thus, for more than 20 windows, the second company would be preferable

Explanation:

Function Models

The two different window washing companies offer their services at two different schemes:

Company 1 charges $5 per window. Being w the number of washed windows, the function that models its costs is:

C1 = 5w

Company 2 charges a base fee of $40 plus $3 per window. The model for the costs is:

C2 = 40 + 3w

The equilibrium point where both companies charge the same occurs when C1 = C2, thus:

5w = 40 + 3w

Subtracting 3w:

2w = 40

Dividing by 2:

w = 20

Thus, for more than 20 windows, the second company would be preferable