the ordered pairs pairs (1,36), (2,49), (3,64). (4,81), and (5,100) represent a function. What is a rule that represents this function

y=x^2
y=36x
y=(x+5)^2****
y=(x=6)^2

Thank you

y=(x+5)^2

To determine the rule that represents the given set of ordered pairs, we need to identify a consistent pattern or relationship between the x-values and the corresponding y-values.

Looking at the given set of ordered pairs: (1,36), (2,49), (3,64), (4,81), and (5,100), we can observe that the y-values are the squares of the x-values. For instance, 36 = 1^2, 49 = 2^2, 64 = 3^2, 81 = 4^2, and 100 = 5^2.

Therefore, the rule that represents this function is y = x^2.

yep

The set of ordered pairs represents a function. Write a rule that represents the function.

​(00​,00​), ​(11​,33​), ​(22​,2424​), ​(33​,8181​), ​(44​,192192​)

49 - 36 = 13

64 - 49 = 15 so not a straight line
so try them all
y is not x^2 because 36 is not 1*1
y is not 36 x because that would be a straight line
try y = (x+5)^2
1 ---> 36
5 ---> 100 sure enough
so I agree