Question

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

A. Y=x^2
B. Y=36x
C. Y=(x+5)^2
D. Y=(x+6)^2

Answer 1

Option C that is Y = (x+5)^2

Step-by-step explanation:

We have been given some terms (1,36), (2,49), (3,64), (4,81) and (5,100) we need to tell the rule for a function we can see as below

when x =1 then value of y=36 ( which is square of 6) and 6 = 1+5

when x=2 then value of y=49 ( which is square of 7) and 7 =2+5

when x=3 then value of y=64 (which is square of 8) and 8 =3+5

when x=4 then value of y =81 (which is square of 9) and 9=4+5

when x=5 then value of y=100 ( which is square of 10) and 10 =5+5

In each case y is square of 5 more than x

Hence, option C is correct that is Y = (x+5)^2