Question

What is the function equation for the input/output table? xy 00 1.33.9 515 824options:y = (3.9) xy = x + 3y = 3 xy = x + 3.9

Answer 1

Given the table:

x y

0 0

1.3 3.9

5 15

8 24

Let's find the function equation for the input/output table.

Apply the slop-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

To find the slope, apply the slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

Take two points from the table:

(x1, y1) ==> (0, 0)

(x2, y2) ==> (5, 15)

We have:

`\begin{gathered} m=(15-0)/(5-0) \\ \\ m=(15)/(5) \\ \\ m=3 \end{gathered}`

The slope, m = 3

The y-intercept is the point, the line crosses the y-axis. At this point the x-coordinate is 0.

From the table, when x = 0, y = 0

Therefore, the y-intercept is at y = 0.

Hence, the function equation for the input/output table is:

y = 3x + 0

y = 3x

ANSWER:

y = 3x