To express x as a function of y when we know that x is 7 more than y, we can start by understanding the relationship between the two variables. The statement “x is 7 more than y” can be translated into a mathematical equation.
We can represent this relationship as:
x = y + 7
In this equation:
- x represents the number that is 7 greater than y.
- y is the variable we are starting with.
This means that for any value of y, you can find the corresponding value of x simply by adding 7. For example:
- If y = 3, then x = 3 + 7 = 10.
- If y = -2, then x = -2 + 7 = 5.
- If y = 0, then x = 0 + 7 = 7.
Thus, the function can be expressed as:
f(y) = y + 7
This function tells us how to calculate x for any given value of y, illustrating a linear relationship between the two variables. Therefore, whenever we know the value of y, we can easily determine x using this function.