Questions: Which of the following shows the situation below in function notation? The depth of a lake at a certain point, which is a function of the distance of that point from shore, is 30 feet. A. Distance from shore(depth) = 30 ft B. Depth(distance from shore) = 30 ft C. Depth (30 ft) = distance from shore D. Distance from shore (30 ft) = depth

Solution Steps

The problem asks us to express the given situation in function notation. The situation describes the depth of a lake at a certain point as a function of the distance of that point from the shore, with the depth being 30 feet.

In function notation, we typically express a relationship where one variable depends on another. Here, the depth of the lake is dependent on the distance from the shore. Therefore, the depth is the function of the distance from the shore.

We need to find the option that correctly represents the depth as a function of the distance from the shore. The correct function notation should express the depth as a function of the distance, which is option B: Depth(distance from shore) $=30 \mathrm{ft}$.

Final Answer