The ordered pairs (1, 5), (2, 25), (3, 125), (4, 625), and (5, 3125) represent a function. What is a rule that represents this function? A. y = x5 **B. y = 5x C. y = 5x D. y = x + 5
No, did you notice that the y values are all powers with base 5 ?
(1,5) ---> (1, 5^1)
(2, 25) ---> (2, 5^2)
...
(5, 3125) ---> (5, 5^5)
So y = 5^x , which I don't see as one of the options, unless you have typo in either B or C
To find the rule that represents a function, we need to look for a pattern in the given ordered pairs.
In this case, if we observe closely, we can see that the values of y are obtained by raising the corresponding x-values to the power of 5.
Let's consider the first ordered pair: (1, 5). If we raise 1 to the power of 5, we get 1. Likewise, for the second ordered pair (2, 25), if we raise 2 to the power of 5, we obtain 32.
Applying this pattern to the other values, we see that each y-value is obtained by raising the corresponding x-value to the power of 5. Therefore, we can conclude that the rule that represents this function is:
y = x^5
So, the correct answer is A. y = x^5
To determine the rule that represents the given ordered pairs, let's examine the pattern.
Looking at the y-values, we can see that each value is obtained by multiplying the x-value by itself five times (x^5). Therefore, the rule that represents this function is:
A. y = x^5