Question

30 FREE pts Which equation could have been used to create this function table? A. y = 5x B. y = x + 1 C. y = x + 2 D. y = 2x 

Answer 1

We want to find the slope of this function first to help us get our answer.

The slope of a function can be found with the following formula:

$\frac{y_2 - y_1}{x_2 - x_1}$

Take any two points from the table to plug into the equation. We'll use (1,2) and (4,8):

$\frac{8 - 2}{4-1} = \frac{6}{3} = 2$

The slope of our function will be 2.

All of the answers are in slope-intercept form. Slope-intercept form uses the following formula:

$y = mx + b$

m is the slope, and b is the y-intercept of the equation.

We know that our slope is 2. The only answer with a slope of 2 is y = 2x.

The answer is D. y = 2x.  

Answer 2

The answer is choice D.

y = 2x

I will show two reasons why this equation is correct.

Let x = 1

y = 2(1)

y = 2

The first point in the table is (1,2).

In the table, x = 3 is the second choice.

y = 2(3)

y = 6

The second point in the table is (3,6).

Answer: y = 2x