Question

Which expression can be used to find the output numbers in the table???

Answer 1

Answer:

$\large\boxed{x+6}$

Step-by-step explanation:

$x = 12\to y=12+6=18\\x=13\to y=13+6=19\\x=14\to y=14+6=20\\x=15\to y=15+6=21\\\vdots\\x\to y=x+6$

Answer 2

The linear function represented in the table is given by:

$y = x + 6$

A linear function has the following format:

$y = mx + b$

In which:

• m is the slope, which is the rate of change.
• b is the y-intercept, which is the value of y when x = 0.

From the table, two of the points (x,y) are (12,18) and (13,19).

The slope is given by change in y divided by change in x, thus:

$m = \frac{19 - 18}{13 - 12} = 1$

Then

$y = x + b$

Point (12,18) means that when $x = 12, y = 18$, and this is used to find b.

$y = x + b$

$18 = 12 + b$

$b = 6$

Thus, the equation is:

$y = x + 6$

A similar problem is given at https://brainly.com/question/16302622