Question

Which function describes the table of values?

Answer 1

Answer:

Opt. C

Step-by-step explanation:

Since all the given options are lines, we will approach to solution using a line's equation.y=mx+b.

Lets start by using two random points from the table, those will be:

(x2,y2)=(4,11)

(x1,y1)+(2,5)

With those points, lets find the slope, which have the following equation:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

When evaluating we obtain: m=3

now, to find 'b' value, we need to eval any given point in the equation, we will use (4,11)

11=3*4+b, b=-1

From whee we obtain that f(x)=3x-1