5. demand the graph represents the price of an item and the number of items purchased.\na. identify the…

5. demand the graph represents the price of an item and the number of items purchased.\na. identify the independent and dependent variables of the relation.\nb. describe what happens in the graph.

5. demand the graph represents the price of an item and the number of items purchased.\na. identify the independent and dependent variables of the relation.\nb. describe what happens in the graph.

Answer

Brief Explanations:

Part a

  • Independent variable: The variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable. Here, the price of the item is what is being manipulated (as different prices are set), so it is the independent variable.
  • Dependent variable: The variable being tested and measured in an experiment. The number of items purchased depends on the price set. So, it is the dependent variable.

Part b

  • In a demand - price relationship, when the price of an item ((x)) increases, the number of items purchased ((y)) decreases. This is a common inverse relationship in economics (Law of Demand). The graph shows a linear negative correlation between the two variables.

Answer:

a. Independent variable: Price of Item ((x)); Dependent variable: Number of Items Purchased ((y)) b. As the price of the item increases, the number of items purchased decreases.