Question

Researchers are developing a mathematical function model to estimate the height of any tree, in meters, based on the tree's circumference, in meters, as measured at a height of one meter from the base of the tree. Which of the following statements is an assumption about what is consistent in this context?

1) The height of a tree is directly proportional to its circumference.
2) The height of a tree is inversely proportional to its circumference.
3) The height of a tree is not related to its circumference.
4) The height of a tree is equal to its circumference.

Answer 1

The assumption about what is consistent in this context is that the height of a tree is inversely proportional to its circumference.

Step-by-step explanation:

The assumption about what is consistent in this context is 2) The height of a tree is inversely proportional to its circumference.

In other words, as the circumference of a tree increases, its height decreases, and vice versa. This assumption is consistent with the mathematical function model being developed to estimate the height of a tree based on its circumference.