The ordered pairs (1,1), (2,8),(3,27),(4,64), and (5,125) represent a function. What is a rule that represents this function? (1 point)

Y=x
Y=4x
Y=x^2***
Y=x^3

Reiny, Steve, Ms.Sue… is this correct or is it not?

OH, wait.. it's D not B*derp*

Nope, not correct. Look at the second data point: is 8 2^2?

Ok, so its B? Right?

y=4x

To find the rule that represents the given function, we need to analyze the pattern and relationship between the input values (x) and the corresponding output values (y).

Looking closely at the given ordered pairs:
(1, 1), (2, 8), (3, 27), (4, 64), (5, 125)

We can observe that the output values (y) are obtained by raising the input values (x) to a specific power:

1² = 1
2² = 4
3² = 9
4² = 16
5² = 25

Hence, the rule that represents this function is y = x².

Therefore, your answer of Y = x^2 is correct.