I am having a bit of trouble with the question stated below. I am home-schooled and learning math on your own has proven to be quite the difficult task. If someone could please explain how to do this as thoroughly as possible, I would greatly appreciate it. I honestly have no idea if they are asking me for two functions, or one. u_u
You have a coupon for $50 dollars off your camera's purchase of $100 dollars or more.
Write a function relating a camera's purchase price after coupon (y), to the retail price (x). Give the domain of this function.
Y = X - 50.
X = Cost of camera before coupon.
Domain = All real values of X.
To answer this question, let's break it down step by step:
Step 1: Understand the question
The question is asking you to write a function that relates the camera's purchase price after applying the coupon (y) to the retail price (x). In other words, you need to find a way to express the new price of the camera after the discount has been applied.
Step 2: Define the function
Let's name the function "f" for simplicity. Since the purchase price after the coupon is applied (y) is dependent on the retail price (x), we can define the function as follows:
f(x) = x - 50
Here, x represents the retail price of the camera, and f(x) represents the purchase price after applying the coupon.
Step 3: Interpret the function
The function f(x) = x - 50 means that to find the purchase price after applying the coupon, you subtract $50 from the retail price.
For example, if the retail price (x) is $150, you can substitute this value into the function:
f(150) = 150 - 50
f(150) = 100
So, the purchase price after applying the coupon would be $100.
Step 4: Determine the domain
The domain of a function represents the set of all possible input values. In this case, the function f(x) can be used for any retail price (x) greater than or equal to $100.
Therefore, the domain of the function is x ≥ 100.
To summarize:
The function relating a camera's purchase price after applying the coupon (y) to the retail price (x) is given by f(x) = x - 50. The domain of this function is x ≥ 100.