Question

The ordered pair (1,81), (2,100), (3,121), 5,169).
represent a function. What is a rule that represent this function?

Answer 1

The y values are all powers of 6: 6^1, 6^2 = 36, 6^3 = 216, 6^4 = 1296, 6^5 = 7776.
x = 1, y = 6^1
x = 2, y = 6^2
x = 3, y = 6^3

x = 5, y = 6^5

So y = 6^x. So the rule is: Raise 6 to the x value to get the y value.

Answer 2

ok thanx

Answer 3

is that the answewr

Answer 4

@elementwielder

Answer 5

The y-values are all perfect squares.
x y
1 81 = 9^2
2 100 = 10^2
3 121 = 11^2
5 169 = 13^2

When x is 1 we square 9 to get the y value (that is, 8 is added to x and squared to get y)
When x is 2 we square 10 to get the y value (that is, 8 is added to x and squared to get y)

Therefore, y = (x+8)^2

You can try putting various x values such as 1,2,3,5 and see if it gives the y-value in the table to make sure y = (x+8)^2 is the correct answer.

Answer 6

yes thas wat i have thank you very much

Answer 7

You are welcome.

Answer 8

XD