Andrea Is selling candles as a fundraiser she spent $50 on supplies for making the candles she plans to sell candles for $10 each what type of function is this what's the domain and what's the range

COMPLETE QUESTION:

Andrea is selling candles as a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the candles for $10 each. Her profit can be modeled by C(x) = 10x - 50.

What type of function is this?

What is the domain and range of the function?

- This function is one-to-one

- Domain D = {x: x is a whole number ≤ Z}

- Range R = {y: y is in -50, ..., (10Z - 50)}

Where Z is the number of candles she could produce with $50.

Step-by-step explanation:

Given that her profit is modeled by C(x) = 10x - 50

- This function is one-to-one, because it is in the form f(x) = y.

Let the number of candles she could make with $50 be Z.

Then the domain is the set of all whole numbers less or equal to Z.

D = {x: x is a whole number ≤ Z}

If there are infinite number of candles she could make with that money, then

D = (-infinity, infinity)

When x = 0, we have C = -50

When x = Z, we have C = 10Z - 50

The range is then given as

R = whole numbers from -50 up to (10Z - 50)

R = {y: y is in (50 -Z), ..., (10Z - 50)}

If there are infinite number of candles she could make with that money, then

R = (-infinity, infinity)