The ordered pairs (3,9), (4, 16), (5,25), (6, 36) and (7,49) represent a function. What is a rule that represents this function?(1 point)
Responses
y= 3x
y= x+6
y= 2x
y= x^2
y= x^2
To find the rule that represents the given function, we need to identify the pattern or relationship between the x-values and the corresponding y-values.
Looking at the ordered pairs, we can observe that the y-values are equal to the square of the x-values:
(3, 9) -> 9 = 3^2
(4, 16) -> 16 = 4^2
(5, 25) -> 25 = 5^2
(6, 36) -> 36 = 6^2
(7, 49) -> 49 = 7^2
Therefore, the rule that represents this function is:
y = x^2.