Question

4. Graph the data in the table below. Which kind of function best models the data? Write an equation to model the data.

Answer 1

Answer:

Option (2).

Step-by-step explanation:

From the figure attached,

Since there is a common difference in each successive term and previous term of y,

$y_{2}-y_{1}=-9-(-6)$

           = -3

$y_{3}-y_{2}=-12-(-9)$

           = -3

Therefore, this data represents a linear equation.

Now we choose two points from the table given.

Let the points are (0, -6) and (1, -9)

Slope of this line 'm' = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

m = $\frac{-9+6}{1-0}$ = -3

Y-intercept 'b' = -6

Equation of the line will be,

y = -3x - 6

Option (2) will be the answer.