Final answer:
The function rule relating x and y, with y being the cube of x, is y = x3. It matches the given pairs of (x,y) values: (1,1), (2,8), and (3,27).
Step-by-step explanation:
You are looking for a function rule that relates the values of x to the values of y. Given the pairs (1,1), (2,8), and (3,27), we can notice that y is the cube of x. Therefore, the function rule is y = x3.
To demonstrate this, for each value of x, you cube it to get the corresponding value of y:
- When x = 1, y = 13 = 1
- When x = 2, y = 23 = 8
- When x = 3, y = 33 = 27
This confirms that the function rule y = x3 accurately describes the relationship between x and y in your given paired numbers.