Algebra-2

To identify the correct answer, we need to understand what direct variation means. 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.

Now, let’s analyze each option:
Option A: The cost of apples is directly proportional to the number of pounds bought.
This is an example of direct variation because the more pounds of apples you buy, the higher the cost will be, assuming the price per pound remains constant.
Here, the cost C is directly proportional to the number of pounds p, following the equation C = kp, where k is the price per pound.

Option B: The time taken to complete a task is directly proportional to the number of workers.
This is not an example of direct variation.
If more workers are added to complete a task, the time taken to complete the task usually decreases, not increases.
For examp...