Question

What’s the answer I’m not sure how to do this

Answer 1

Step 1:

To write the function of the table, pick two values from the table and generate an equation of a line for the function.

The two coordinates are:

( 1 , 2 ) and ( 2, 4 )

Step 2:

Use the two points equation of a line to find the function.

`\begin{gathered} (y-y_1)/(x-x_1)\text{ = }(y_2-y_1)/(x_2-x_1) \\ (y-2)/(x-1)\text{ = }(4-2)/(2-1) \\ \frac{y-2_{}}{x-1_{}}\text{ = }(2)/(1) \\ \text{Cross multiply} \\ y\text{ - 2 = 2x - 2} \\ y\text{ = 2x - 2 + 2} \\ y\text{ = 2x} \end{gathered}`

Final answer

The function that represents the table is given below:

f(x) = 2x

Option A