Question

Gabriel sells boxes in four sizes. He determines that each box is constructed so that the volume can be calculated with the expression
(
x
)
(
2
x
)
(
x
−
2
)
, where the unit is inches. Which describes the meaning of the coefficient 2 in the second factor of this product?


It makes one edge of the box 2 inches shorter than one of the other edges.


It makes one edge of the box twice the length of one of the other edges.


It doubles the surface area of the sides of the box as the box size increases.


It doubles the dimensions of the boxes as they increase in size.

Answer 1

It makes one edge of the box twice the length of one of the other edges.

Reason: the factor 2x means that edge length is 2 times x, so that edge is twice as long as the edge of length x.