Question

consider the table of values shown. the relationship of x to y is represented by which equation?
x: 2, 3, 4, 5, 6
y: 9, 10, 11, 12, 13
options:
y = 6x - 3
y = x + 7
y = 3x + 1
y = 4x

Explanation:

Step1: Test first pair (2,9)

Check $y = x+7$: $9 = 2+7=9$, valid.

Step2: Test second pair (3,10)

Check $y = x+7$: $10 = 3+7=10$, valid.

Step3: Test third pair (4,11)

Check $y = x+7$: $11 = 4+7=11$, valid.

Step4: Verify remaining pairs

Check (5,12): $12=5+7=12$; (6,13): $13=6+7=13$, all valid.

Answer:

$y = x + 7$