Question 1

What measures can take on more than one value?
A) axes
B) origins
C) points
D) variables

Accepted Answer

Variables are the only option among those listed that are designed to take on more than one value. They can vary and represent different quantities or categories in mathematical functions, statistical models, and experiments.

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

Accepted Answer

A point on a coordinate graph represents the value of both the x-variable and the y-variable, indicating a specific location in a two-dimensional space.

Question 3

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

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

Accepted Answer

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?
​
Figure: The Production Possibilities Frontier I

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

Accepted Answer

The answer of Use the figure The Production Possibilities Frontier...

Question 5

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

Accepted Answer

The answer of Use the figure The Production Possibilities Frontier...

Question 6

A variable that is influenced by another variable is the:
A) dependent variable.
B) independent variable.
C) origin.
D) coordinate.

Accepted Answer

The dependent variable is the one that is influenced or affected by the independent variable in an experiment or study.

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.

Accepted Answer

The frequency of watering the plants is the independent variable because it is the variable that Dorothy manipulates or changes to see its effect on the number of flowers produced, which would be the dependent 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.

Accepted Answer

The slope of a straight line is calculated by dividing the change in the y-variable (rise) by the change in the x-variable (run), which is the definition of slope in coordinate geometry.

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.

Accepted Answer

The slope of a line is a measure of how steep the line is. It is calculated by dividing the change in the y-coordinate by the change in the x-coordinate. A positive slope indicates that the line is rising from left to right, while a negative slope indicates that the line is falling from left to right.

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

Accepted Answer

The slope of a line is calculated as the change in y over the change in x. Here, the change in price (y-variable) is $2 ($12 - $10), and the change in quantity (x-variable) is -4 (16 - 20). Thus, the slope = $2 / -4 = -1/2.

Question 11

How is the slope of a line calculated?
A) Rise - Run
B) Rise x Run
C) Rise/Run
D) Rise + Run

Accepted Answer

The slope of a line is calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run), which is expressed as 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?
​
Figure: The Production Possibilities Frontier III

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

Accepted Answer

The answer of Use the figure The Production Possibilities Frontier...

Question 13

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

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

Accepted Answer

The answer of Use the figure The Production Possibilities Frontier...

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?
​
Figure: The Net Loss to Society Due to the Overproduction of a Good

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

Accepted Answer

The answer of Use the figure The Net Loss to...

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?
​
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

Accepted Answer

The answer of Use the figure The Net Loss to...

Question 16

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

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

Accepted Answer

The answer of Use the figure A Firm's Profit. What...

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?
​
Figure: A Firm's Profit

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

Accepted Answer

The answer of Use the figure A Firm's Profit. What...

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.
​
Figure: Area of a Triangle I

Accepted Answer

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

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.
​
Figure: Area of a Rectangle I

Accepted Answer

The answer of Use Figure: Area of a Triangle 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.
​
Figure: Area of a Triangle II

Accepted Answer

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

Quiz 1: Extension: Understanding Graphs

What measures can take on more than one value?

What is represented by a point on a coordinate graph?

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

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

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

A variable that is influenced by another variable is the:

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?

To find the slope of a straight line, you:

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

How is the slope of a line calculated?

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

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

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? Figure: The Net Loss to Society Due to the Overproduction of a Good

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? Figure: The Net Loss to Society Due to the Overproduction of a Good

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

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

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. Figure: Area of a Triangle I

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. Figure: Area of a Rectangle I

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. Figure: Area of a Triangle II

Quiz 1: Extension: Understanding Graphs

What measures can take on more than one value?

What is represented by a point on a coordinate graph?

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

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

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

A variable that is influenced by another variable is the:

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?

To find the slope of a straight line, you:

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

How is the slope of a line calculated?

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

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

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? ​ Figure: The Net Loss to Society Due to the Overproduction of a Good

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? ​ Figure: The Net Loss to Society Due to the Overproduction of a Good

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

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

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. ​ Figure: Area of a Triangle I

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. ​ Figure: Area of a Rectangle I

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. ​ Figure: Area of a Triangle II

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

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

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

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

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

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? Figure: The Net Loss to Society Due to the Overproduction of a Good

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? Figure: The Net Loss to Society Due to the Overproduction of a Good

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

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

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. Figure: Area of a Triangle I

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. Figure: Area of a Rectangle I

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. Figure: Area of a Triangle II