Question

A hair salon uses a function to determine the price for a dye job. The salon charges a certain base fee for a dye job, plus an additional $5 per inch of hair. If Suzy's dye job cost her $45, and Suzy's hair is 5 inches long, what is the salon's base fee (the initial value of the function)?

Answer 1

Answer: the salon's base fee is $15

Explanation:

Let x represent the base fee charged by the hair saloon.

The salon charges a certain base fee for a dye job, plus an additional $5 per inch of hair. This means that the total charge for a person whose hair is y inches long is expressed as

x + 5y

If Suzy's dye job cost her $45, and Suzy's hair is 5 inches long, it means that

x + 5 × 5 = = 45

x + 25 = 45

x = 45 - 25

x = 15

The function would be

C(x) = 15 + 5x

Where C(x) represents total cost