Question

Which of the following ordered pairs is a solution to y = 2^x?

(3, 8)

(3, 9)

(3,27)

Answer 1

(3,8)

Explanation:

Since the answer choices are given we can plug the "x" value and see if it returns the y-value given in the ordered pair (x,y) and so:

`y=2^x`

Let's use the ordered pair (3,8) meaning that when x=3 y =8 and so:

`y=2^3=2*2*2=8`

`y=8`

This is correct and so this is a solution, since the solution is unique when x=3 y is always going to return an 8.

Answer 2

(3, 8)

Explanation:

For x = 3,

. . . y = 2^x

. . . y = 2^3 = 2·2·2 = 8

This is represented by the ordered pair (x, y) = (3, 8).