Question

Please help asap i will mark branlist please explain

Answer 1

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 $\frac{+3}{+1}$ 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.