What does the data shown in the demand curve graph …

Mathematics Questions

The graph shows a demand curve. A graph titled Demand Curve has Quantity Demanded on the x-axis, from 0 to 60 in increments of 10, and Price on the y-axis, from 0 to 20 dollars in increments of 2 dollars and 50 cents. A line with negative slope is on the graph. What does the data shown in this graph represent? a decrease in quantity demanded as prices decrease an increase in price as quantity demanded decreases a decrease in income as quantity demanded increases an increase in quantity demanded as prices decrease

Short Answer

The law of demand indicates an inverse relationship between price and quantity demanded, where lower prices increase demand. The demand curve visually confirms this relationship, showing that as prices decrease, the quantity demanded correspondingly rises.

Step-by-Step Solution

Step 1: Understand the Law of Demand

The law of demand states that there is an inverse relationship between the price of a good and the quantity that consumers are willing to purchase. This means that when prices fall, demand increases, while higher prices lead to lower demand. A basic understanding of this principle is crucial for analyzing consumer behavior.

Step 2: Analyze the Demand Curve

The demand curve is typically downward sloping, illustrating the negative relationship between price and quantity demanded. When observing this curve on a graph, you’ll notice:

  • As prices decrease along the y-axis, the quantity demanded increases along the x-axis.
  • This slope confirms that lower prices generally lead to higher demand.

Step 3: Confirm the Relationship with Graph Data

Upon examining the graph, you can see that as prices drop, the data shows a corresponding rise in quantity demanded. This visual confirmation reinforces the concept of the law of demand, highlighting that:

  • Lower prices result in higher quantities demanded.
  • The relationship depicted clearly supports the inverse relationship defined by the law of demand.

Related Concepts

Law Of Demand

The principle that states there is an inverse relationship between the price of a good and the quantity that consumers are willing to purchase, where lower prices lead to higher demand and higher prices lead to lower demand.

Demand Curve

A graphical representation that illustrates the negative relationship between price and quantity demanded, typically showing a downward slope. as prices decrease, the quantity demanded increases, confirming the law of demand.

Graph

A visual representation of data that shows the relationship between price and quantity demanded, used to confirm the law of demand by displaying how lower prices correlate with higher quantities demanded.

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