To express x as a function of y, we start by understanding the relationship described. The statement ‘x is a number that is 7 more than y’ can be translated into a mathematical equation.
We can write this relationship as:
x = y + 7
Here, we take the value of y and add 7 to it to find x. This means that for any value of y you choose, you can find the corresponding value of x by simply adding 7. For example, if y is 3, then x would be:
x = 3 + 7 = 10
Thus, x expressed as a function of y is x(y) = y + 7. This function shows how x varies with changes in y, making it easy to calculate x for any given value of y.