Which term describes the relationship where one amount increases as another amount increases at the same rate?

The correct term that describes the relationship where one amount increases as another amount increases at the same rate is positively correlated. In this context, positive correlation indicates a direct relationship where both variables move in the same direction. When one variable increases, the other variable also increases correspondingly. This relationship can be represented on a graph where the points would trend upward from left to right.

In contrast, inversely proportional implies that as one variable increases, the other decreases, indicating a negative relationship. Negatively correlated suggests that an increase in one variable results in a decrease in another variable, which is also not reflective of the described relationship. Directionally proportional is not a standard term used to describe these types of relationships and may lead to confusion. Therefore, positively correlated is the most precise and accurate term to describe the scenario where both amounts increase together at the same rate.