Answer: D
Step-by-step explanation: In this problem, we want find the difference between each of the x-term and each of the y-terms.
Let's begin with the x-terms.
Notice that the difference between 1 and 0 is +1, the difference between 2 and 1 is +1, the difference between 3 and 2 is +1, and the difference between 4 and 3 is +1.
Now, looking at the y-terms.
The difference between 5 and 2 is +3, the difference between 8 and 5 is +3, the difference between 11 and 8 is +3, and the difference between 14 and 11 is +3.
To write an equation, we need to know the multiplier and the base.
The multiplier will be equal to the change in y over the change in x.
The change in y is always +3 and the change in x is always +1.
So we have
which is equal to +3.
This means that the multiplier is equal to 3.
Next, we want to find the base or the value of y when x is equal to 0. The base is equal to when x is equal to 0.
Now to write an equation from the data in the table, we begin with the equation y = mx + b where m is the multiplier and b is the base.
We know that the multiplier is 3 and the base is 2.
So we have y = 3x + 2.
So your answer is D.