A pen company wants to put two extra pens in every package of pens. The following shows how the new number of pens in a package, y, changes as the original number of pens in a package, x, changes.

A graph with x axis marked as the original number of pens and y axis as the new number of pens in the count of 1. The line is drawn from (0,2 to (8,10) and the header text as two extra pen special.

Which equation shows this relationship?
A.
y + 2 = x
B.
y = x + 2
C.
2y = x
D.
y = 2x

1 answer

The relationship described in the scenario is that the new number of pens \( y \) is equal to the original number of pens \( x \) plus 2 extra pens. This can be expressed with the equation:

\[ y = x + 2 \]

Therefore, the correct answer is:

B. \( y = x + 2 \)