Question

3. Hi

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


x y

0 -6
1 -9
2 -12
3 -15
4 -18

A. exponential; y = –6•1.5x

B. quadratic; y = –x2 – 2x

C. quadratic; y = –x2 + 2x – 6

D. linear; y = – 3x –6

Answer 1

D. linear; y = – 3x –6

Explanation:

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.

Answer: The correct answer is c

Step-by-step explanation: you would have to plot your graph and the put the answer in slop intercept for y=mx+b or y=-3x-6

Answer:

exponential; y = –6 • 1.5x

Step-by-step explanation:

1.5 x 1 = 1.5

1.5x-6= -9