https://file.aiquickdraw.com/mathbot/file/1727291988781pq8jo8sx.jpg

The graph shown in the image represents a **linear demand function**. Here's why:

- The graph has **price (P)** on the vertical axis and **quantity (Q)** on the horizontal axis.
- The line is **downward sloping**, which indicates an inverse relationship between price and quantity. This characteristic matches a **demand curve**, where higher prices result in lower quantities demanded, and lower prices lead to higher quantities demanded.

The other options (supply, savings, and consumption functions) typically behave differently:
- A **supply function** usually slopes upwards, showing that higher prices lead to a greater quantity supplied.
- **Savings and consumption functions** are typically associated with income and may not directly involve price and quantity in the manner depicted here.

Would you like more details on this concept or further clarifications?

### Related Questions:
1. What is the mathematical equation for a linear demand function?
2. How do shifts in demand affect the demand curve?
3. What factors can cause a demand curve to shift?
4. How does elasticity relate to the demand curve?
5. What are the key differences between demand and supply functions?

**Tip**: A downward-sloping line on a price vs. quantity graph is often a sign of a demand function, reflecting the law of demand in economics.

The graph below represents a linear ...................

This problem illustrates how to identify a linear demand function from a graph with price (P) and quantity (Q) axes. The graph shows a downward-sloping line, characteristic of a demand curve. Learn how changes in price affect quantity demanded and the key aspects of the law of demand. Suitable for Grades 9-12.

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