Question

Review:

15. Which function includes the data
set {(2, 4), (6, 6), (12, 9)}?
A. y = 2x
C. y = 2x - 9
D. y = x + 3
B. y = x
2

Answer 1

The function that includes the given dataset {(2, 4), (6, 6), (12, 9)} is y = 3x + 9.

Step-by-step explanation:

The function that includes the dataset {(2, 4), (6, 6), (12, 9)} is y = 3x + 9. To determine this, we can compare the given dataset with the equations provided.

For example, if we substitute x = 2 into each of the equations, we find:

• A. y = 2x gives y = 2(2) = 4 (not matching the given dataset)
• B. y = 2x - 9 gives y = 2(2) - 9 = -5 (not matching the given dataset)
• C. y = x + 3 gives y = 2 + 3 = 5 (not matching the given dataset)
• D. y = x² gives y = 2² = 4 (not matching the given dataset)

Only when we substitute x = 2 into y = 3x + 9, we get y = 3(2) + 9 = 15, which matches the given dataset. Therefore, the correct function is y = 3x + 9.