An economic model describes the relationship between the price of a popular brand of coffee and the number of cups consumers are willing to buy each day. The model states that as the price per cup increases, the number of cups consumers are willing to buy decreases. Which of the following descriptions best represents this relationship on a standard graph with Price on the vertical axis and Quantity on the horizontal axis?

Modeling Consumer Behavior

Modeling Production Costs

Evaluating Economic Model Representations

An economist models the relationship between two variables, X and Y, using the general linear equation Y = a + bX. Match each component of the equation to its correct economic interpretation.

Modeling a Small Business's Sales

An economic model describes the relationship between a worker's hours of study for a certification exam and their resulting hourly wage increase. The model posits that each additional hour of study leads to a progressively smaller increase in the hourly wage, eventually reaching a point where more study yields no further increase. This relationship can be accurately represented by a straight, upward-sloping line on a graph with 'Hours of Study' on the horizontal axis and 'Hourly Wage Increase' on the vertical axis.

An economic model represents the relationship between the daily advertising budget (A) of a company, measured in dollars, and the number of units sold (S) with the equation S = 50 + 0.25A. According to this model, for every one-dollar increase in the advertising budget, the number of units sold is predicted to increase by ____.

You are tasked with creating a simple mathematical model based on the following economic statement: 'As the price of a product increases, the quantity that consumers are willing to buy decreases.' Arrange the following steps in the logical order you would take to translate this statement into a graphical representation.

An economic model is represented by a graph where the vertical axis measures 'Total Output' and the horizontal axis measures 'Number of Workers'. The graph shows a curve that starts at the origin, rises as the number of workers increases, but becomes progressively flatter. This indicates that while adding more workers increases total output, each additional worker contributes less to the output than the one before. Which of the following equations, where 'Q' is Total Output and 'L' is Number of Workers, best represents this relationship?