Question

Which of the following sets represents possible inputs and outputs of the function y=6x−3 represented as ordered pairs? Choose the correct set from the options below:

a. (0,3),(1,−9),(2,−15)
b. (0,−3),(2,15),(4,21)
c. (0,−3),(2,9),(4,21)
d. (0,3),(−2,15),(4,21)

Answer 1

The possible inputs and outputs of the function y=6x−3 represented as ordered pairs are (0,-3), (1,3), (2,9).

Step-by-step explanation:

The function y = 6x - 3 represents a linear equation. In order to find the possible inputs and outputs of this function as ordered pairs, we can substitute different values for x and solve for y.

Let's substitute x = 0 in the equation: y = 6(0) - 3 = -3. So one possible ordered pair is (0,-3).

Substitute x = 1 in the equation: y = 6(1) - 3 = 3. Another possible ordered pair is (1,3).

Substitute x = 2 in the equation: y = 6(2) - 3 = 9. And the last possible ordered pair is (2,9).

Therefore, the set that represents the possible inputs and outputs of the function y = 6x - 3 as ordered pairs is (0,-3), (1,3), (2,9). Answer choice C is correct.