The ordered pairs (1, 81), (2, 100), (3, 121), (4, 144), and (5, 169) represent a function. What is a rule that represents this function?
Did you notice all the y values are perfect squares
when x=1 , y = (1 + 8)^2
when x=2, y = (2+8)^2
when x=3, y = (3+8)^2
...
mmmhhhh?
To find a rule that represents the given function, we need to observe the pattern in the ordered pairs.
We notice that the first number in each ordered pair is increasing uniformly by 1 (1, 2, 3, 4, 5).
If we look at the second number in each ordered pair, we can see that it is the square of the first number.
Therefore, the rule that represents this function is: y = x^2, where y represents the second number in the ordered pair and x represents the first number.