We want to write a real-world example of a relation that is a function.
First, let's describe what a function is.
A function is a relationship that maps elements from a set, the domain, into elements from another set, the range.
Such that each element in the domain can be mapped into only one element in the range.
So for example, if for a given item we have 2 different prices, like:
- f( bar of soap) = $10
- f(bar of soap) = $5.
this is not a function, because the input "bar of soap" is being mapped into two different elements of the range.
Now that we know what a function is, we can create a real-world example.
Let's create a really simple one, let's say that in your local store they sell each bar of soap for $2.
Then, if you buy x of these, the cost will be x times $2, or:
$2*x
Then we can create a function, the cost function, that models the cost of buying x bars of soap at your local store, it is:
c(x) = $2*x
This is a function that models a "real-world" problem.
If you want to learn more, you can read:
https://brainly.com/question/183587
