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The image shows a problem asking for the function notation to represent a specific statement. The function \( D(w) \) represents the depth of the Plantin River in feet, where \( w \) is the distance from the river's edge.

The statement provided is: 
"At a distance of 3 feet from the river's edge, Plantin River is 4 feet deep."

To express this using function notation:

\[
D(3) = 4
\]

This means that when the distance from the river's edge (\( w \)) is 3 feet, the depth of the river is 4 feet.

Would you like further details or explanations? Here are 5 related questions you might find helpful:

1. How would you express the depth at 5 feet from the river's edge if it is 6 feet deep?
2. What is the interpretation of \( D(0) = 2 \) in the context of this problem?
3. How would you write a general equation for \( D(w) \) if the depth increases linearly with distance?
4. Can \( D(w) \) ever be negative in this context? Why or why not?
5. How would you use this function notation to represent a scenario where the depth remains constant?

**Tip:** Function notation is a compact way to express relationships between variables. It helps in easily substituting and understanding specific values!

At a distance of 3 feet from the river's edge, Plantin River is 4 feet deep.

Learn how to express the depth of Plantin River at a distance from the edge using function notation. This problem illustrates key algebraic concepts such as function notation and depth-distance relationships. Suitable for students in Grades 6-8.

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