Question

Which equation best describes the relationship shown in the following ordered pairs?(0, 1), (1, 3), (2, 5), (3, 7) A. y = 3x^2B. y = 2x + 1C. y = x + 1D. y = 3x - 2

Answer 1

Using the first point of question: (x,y) = (0,1), we can discard options A and D because:

• A) y = 3*0^2 = 0 ≠ 1,

,

• D) y = 3*0 - 2 = -2 ≠ 1.

Now, using the second point: (x,y) = (1,3), we can discard option C because:

• C) y = 1 + 1 = 2 ≠ 3.

So the only option that can be correct is option B. We can verify that evaluating for:

• x = 0, we get: y = 2*0 + 1 = 1,

,

• x = 1, we get: y = 2*1 + 1 = 3,

,

• x = 2, we get: y = 2*2 + 1 = 5,

,

• x = 3, we get: y = 2*3 + 1 = 7.

Answer

B. y = 2x + 1