Question

A hair salon charges a fixed rate of $25.00 for a haircut and an additional $15 for any other services. Write a function to model the cost of services at the salon and then evaluate the function to determine the cost for a haircut, shampoo, highlight, and blow dry. A) f(x) = 15x + 25; f(3) = 70 B) f(x) = 15x + 25; f(1) = 40 C) f(x) = 25x + 15; f(3) = 90 D) f(x) = 25x + 15; f(1) = 40 E) f(x) = 25x + 15; f(2) = 40

Answer 1

A

Explanation:

The function is f(x) = 15x + 25 as 25$ is a fixed rate ( it does not change and is always charged) when 15$ for any other service which can be anything, a costumer can have 0 services other than the hair cut which gives f(0). As for the question, it's asking for haircut, shampoo, highlight, and blow dry so that is 3 other services other than the fixed haircut which means f(3). substitute x=3 in the function to get 15(3) + 25 = 45+25 = 70.

Answer 2

f(x) =15x + 25, f(1) = 40, f(3) = 70

Explanation:

Given,

The fixed cost = $ 25.00

Additional cost for other service = $ 15,

If there are x services,

Then the total cost ( say f(x) ) = additional cost for x services + fixed cost,

⇒ f(x) = 15x + 25,

If x = 1,

the cost for 1 service, f(1) = 15(1) + 25 = 15 + 25 = $ 40,

If x = 2,

The cost for 2 services, f(2) = 15(2) + 25 = 30 + 25 = $ 55,

If x = 3,

The cost for 3 services, f(3) = 15(3) + 25 = 45 + 25 = $ 70