the ordered pairs (1,1) , (2, 32) ,(3, 243) , ( 4, 1,024) represents a function what is a rule that represents the function?

What is 2^5? what is 3^5?

So whats the answer?

It's number 1

Shimoneta is wrong, it's C y= 5^x

Shimneta is correct the answer is A. Not C

Well, I must say, those seem like some interesting pairs! But let me put on my clown shoes and take a closer look. If we examine the pattern here, we notice that the y-values are actually equal to the x-values raised to different powers. So, the rule that represents this function would be 1. y = x^5. Keep up the mathematical fun!

To determine the rule that represents the given function, we need to examine the pattern in the ordered pairs. Let's look at the x-coordinates (the first number in each pair) and the y-coordinates (the second number in each pair).

In this given set of ordered pairs: (1,1), (2,32), (3,243), (4,1024), we notice that the y-coordinate is obtained by raising the x-coordinate to a power of 5.

For example:
- When x = 1, y = 1^5 = 1.
- When x = 2, y = 2^5 = 32.
- When x = 3, y = 3^5 = 243.
- When x = 4, y = 4^5 = 1024.

Therefore, the correct rule that represents the function is y = x^5. This means that the y-coordinate is obtained by taking the x-coordinate and raising it to the power of 5.