Question 1

Use the figure Area of a Rectangle II. The rectangle in the accompanying graph represents the loss to a firm when it produces a quantity of 20 at a price of $10. Calculate the area of the rectangle.
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Figure: Area of a Rectangle II
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Accepted Answer

The answer of Use the figure Area of a Rectangle...

Question 2

Use the figure Area of a Rectangle III. The rectangle in the accompanying graph represents the loss to a firm when it produces a quantity of 20 at a price of $500. Calculate the area of the rectangle.
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Figure: Area of a Rectangle III

Accepted Answer

The answer of Use the figure Area of a Rectangle...

Question 3

A _____ is a graph that indicates the value of dependent variables for each value of an independent variable using rectangles.
A) scatter plot
B) pie chart
C) coordinate plane
D) bar chart

Accepted Answer

A bar chart is used to represent data with rectangular bars where the length of the bar is proportional to the value of the variable. It effectively shows the value of dependent variables for each value of an independent variable.

Question 4

Jose has a chart showing the relationship between income and life expectancy in 100 countries. Each country has its own data point, but there is no line connecting the data points. What kind of graph does Jose have?
A) bar chart
B) box plot
C) scatter diagram
D) pie chart

Accepted Answer

A scatter diagram (or scatter plot) is used to show the relationship between two variables, in this case, income and life expectancy for different countries. Each data point represents a country's position in terms of these two variables, without connecting lines.

Question 5

Eloise has data on the different categories of spending on supplies at her company. She wants to illustrate this using a graph that shows a larger value - all spending on supplies - broken up into the smaller pieces for each category. What kind of graph should Eloise use?
A) bar graph
B) pie chart
C) scatter plot
D) Cartesian plane

Accepted Answer

A pie chart is ideal for showing how a whole is divided into parts, making it perfect for illustrating the different categories of spending as portions of the total spending on supplies.

Question 6

An economist wants to visualize whether there is a relationship between two variables by observing all of the different data points. What kind of graph is the most appropriate for this purpose?
A) a graph of the area of a triangle
B) a scatter diagram
C) a bar chart
D) a pie chart

Accepted Answer

A scatter diagram (or scatter plot) is the most appropriate type of graph for visualizing the relationship between two variables, as it allows for the observation of all different data points and how they correlate with each other.

Question 7

A scatter diagram shows a falling pattern of points in a graph representing the relationship between education and the probability of having a chronic illness. What can be concluded based on that pattern?
A) There is generally an inverse relationship between education and chronic illness.
B) There is generally a positive relationship between education and chronic illness.
C) There is at first a positive relationship and then a negative relationship between education and chronic illness.
D) There is at first a negative relationship and then a positive relationship between education and chronic illness.

Accepted Answer

A falling pattern of points indicates that as one variable increases, the other decreases. Therefore, an inverse relationship exists between education and the probability of having a chronic illness, meaning higher education levels are associated with lower probabilities of having a chronic illness.

Quiz 1: Extension: Understanding Graphs

Use the figure Area of a Rectangle II. The rectangle in the accompanying graph represents the loss to a firm when it produces a quantity of 20 at a price of $10. Calculate the area of the rectangle. Figure: Area of a Rectangle II

Use the figure Area of a Rectangle III. The rectangle in the accompanying graph represents the loss to a firm when it produces a quantity of 20 at a price of $500. Calculate the area of the rectangle. Figure: Area of a Rectangle III

A _____ is a graph that indicates the value of dependent variables for each value of an independent variable using rectangles.

Jose has a chart showing the relationship between income and life expectancy in 100 countries. Each country has its own data point, but there is no line connecting the data points. What kind of graph does Jose have?

Eloise has data on the different categories of spending on supplies at her company. She wants to illustrate this using a graph that shows a larger value - all spending on supplies - broken up into the smaller pieces for each category. What kind of graph should Eloise use?

An economist wants to visualize whether there is a relationship between two variables by observing all of the different data points. What kind of graph is the most appropriate for this purpose?

A scatter diagram shows a falling pattern of points in a graph representing the relationship between education and the probability of having a chronic illness. What can be concluded based on that pattern?