Question

One of Robert’s homework problems had the following function table.

x | y
0 | 4
2 | 8
4 | 12
6 | 16

Robert concluded that the rule for this function table was y =2x + 4.
Which statement best justifies that Robert’s conclusion is correct?

A. The x-values are all even numbers and 2 is an even number.
B. The y-intercept of the equation is 4 and the first point is (0, 4).
C. Each x-value put into the equation yields the corresponding y-value.
D. All the x-values are positive, so all the y-values will also be positive.

Answer 1

Surely, C

Answer 2

Sir obleck please how where you able to justify and stand by your answer C?

All of the options are true to me....I was deeply Wondering

I need your explanation

Answer 3

They are all true, but that does not mean that they justify using that equation for that table. C is the right choice, because every entry in the table matches the equation.
You could have x=2, y=4 which would satisfy A, but not the equation.
B is true for any line going through (0,4), not just the line for this equation
D (see A)

Answer 4

Oh yes yes I see thank you very much