Algebra-2

In direct variation, one quantity increases or decreases in direct proportion to another. This means that as one variable increases, the other also increases at a constant rate, and similarly, if one decreases, the other decreases proportionally. The general formula for direct variation is y = kx, where k is a constant.

In inverse variation, one quantity increases while the other decreases, which is the opposite of direct variation. This means that as one variable gets larger, the other gets smaller. The relationship for inverse variation can be written as y = k/x, where k is a constant.

Now, let’s examine each option:

Option A: The number of pages you can print is proportional to the amount of ink in the printer.
This describes a direct variation. The more ink you have, the more pages you can print, assuming the printer uses ink at a constant rate. If p represents the number of pages and i represents the amount of ink, the equation would be p = ki, a typical example of direct variation.

Option B: The number of hours you work is proportional to the mo...