Deck 1: Extension: Understanding Graphs

Question 1

What measures can take on more than one value?

A) axes
B) origins
C) points
D) variables

Answer 1

D

Question 2

What is represented by a point on a coordinate graph?

A) the value of the x-variable and the y-variable
B) the value of the x-variable
C) the value of the z-variable
D) the difference between the x-variable and the y-variable

Answer 2

A

Question 3

Use the figure The Production Possibilities Frontier I. What is the x-variable in this graph?
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Figure: The Production Possibilities Frontier I

A) point G
B) point I
C) the quantity of televisions
D) the quantity of lamps

Answer 3

D

Question 4

Use the figure The Production Possibilities Frontier I. What is the value of the x-variable at point F in this graph?
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Figure: The Production Possibilities Frontier I

A) six lamps
B) two televisions
C) six televisions
D) two lamps

Question 5

Use the figure The Production Possibilities Frontier I. What are the coordinates of point E in this graph?
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Figure: The Production Possibilities Frontier I

A) 12 televisions and one lamp
B) 12 lamps and one television
C) four televisions and 12 lamps
D) 12 lamps and two televisions

Question 6

A variable that is influenced by another variable is the:

A) dependent variable.
B) independent variable.
C) origin.
D) coordinate.

Question 7

Dorothy is interested in the relationship between how often she waters her plants and how many flowers they produce. What is true about the variable describing how often she waters her plants?

A) It is the origin.
B) It is the dependent variable.
C) It is the independent variable.
D) It is not a variable.

Question 8

To find the slope of a straight line, you:

A) divide the change in the y-variable by the change in the x-variable.
B) subtract the change in the y-variable from the change in the x-variable.
C) add the change in the y-variable to the change in the x-variable.
D) subtract the change in the x-variable from the change in the y-variable.

Question 9

The rate at which a line rises or falls from left to right is its:

A) origin.
B) slope.
C) independent variable.
D) dependent variable.

Question 10

The price of a good is the y-variable and the quantity of a good that people want to buy is the x-variable. When the price of a hamburger increases from $10 to $12, the quantity of hamburger that people want to buy in a day decreases from 20 to 16. What is the slope of the line that describes the relationship between price and the quantity of hamburgers that people want to buy?

A) -1/2
B) -2
C) -10
D) 5

Question 11

How is the slope of a line calculated?

A) Rise - Run
B) Rise x Run
C) Rise/Run
D) Rise + Run

Question 12

Use the figure The Production Possibilities Frontier III. What is the slope of the line between point H and point I?
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Figure: The Production Possibilities Frontier III

A) -3
B) -6/5
C) -9/10
D) 5

Question 13

Use the figure The Production Possibilities Frontier III. What is the slope of the line between point I and point K?
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Figure: The Production Possibilities Frontier III

A) 7.5
B) -9/10
C) 9
D) -7/5

Question 14

Use the figure The Net Loss to Society Due to the Overproduction of a Good. What is the area of the shaded triangle in this graph?
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Figure: The Net Loss to Society Due to the Overproduction of a Good

A) $575
B) $40
C) $20
D) $345

Question 15

Use the figure The Net Loss to Society Due to the Overproduction of a Good. What is the correct way to calculate the area of the shaded triangle in this graph?
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Figure: The Net Loss to Society Due to the Overproduction of a Good

A) $25 × $23
B) $15 × $23
C) ($25 - $15) × ($27 - $23)
D) [($25 - $15) × ($27- $23)] / 2

Question 16

Use the figure A Firm's Profit. What is the area of the shape shaded in this graph?
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Figure: A Firm's Profit

A) $4,500
B) $562.50
C) $7,500
D) $3,000

Question 17

Use the figure A Firm's Profit. What is the correct method for calculating the area of the shape shaded in this graph?
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Figure: A Firm's Profit

A) ($75 - $30) / 2
B) ($75 - $30) × 100
C) ($75 - $30) × 125
D) ($75 - $30) × (125 - 100)

Question 18

Use the figure Area of a Triangle I. The triangle in the accompanying graph represents the net gain to producers from selling a good. Calculate the area of the triangle.
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Figure: Area of a Triangle I

Question 19

Use Figure: Area of a Triangle I The rectangle in the accompanying graph represents the tax revenue that is gained when a tariff is placed on a good. Calculate the area of the rectangle.
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Figure: Area of a Rectangle I

Question 20

Use the figure Area of a Triangle II. The triangle in the accompanying graph represents the welfare loss to consumers who no longer participate in a market after a tax is placed on a good. Calculate the area of the triangle.
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Figure: Area of a Triangle II

Question 21

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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Question 22

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

Question 23

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

Question 24

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

Question 25

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

Question 26

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

Question 27

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.