Question 1

Which point has coordinates ( 3, - 5)?

Accepted Answer

A)  A 
B)  B 
C)  C 
A)  A 
B)  B 
C)  C

Question 2

A division of a corporation produces "Personal Income Tax" diaries. Each diary sells for $8. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each diary is $3. What should be the level of sales in order for the division to realize a 15% profit over the cost of making the diaries?

Accepted Answer

A)  The level of sales should be 5,055 units. 
B)  The level of sales should be approximately 9,222 units. 
C)  The level of sales should be 4,553 units. 
D)  The level of sales should be 8,952 units. 
A)  The level of sales should be 5,055 units. 
B)  The level of sales should be approximately 9,222 units. 
C)  The level of sales should be 4,553 units. 
D)  The level of sales should be 8,952 units.

Question 3

Find the distance between the given points. (2, 3) and (5, 7)

Accepted Answer

A)  4 
B)  5 
C)  3 
D)  7 
A)  4 
B)  5 
C)  3 
D)  7

Question 4

What are the coordinates of point B?

Accepted Answer

A)  (- 5, 4) 
B)  (- 5, - 3) 
C)  (4, 1) 
A)  (- 5, 4) 
B)  (- 5, - 3) 
C)  (4, 1)

Question 5

Find the point of intersection of the pair of straight lines. Round the answers to nearest three decimal places.   2x + 4y + 42 = 0

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Accepted Answer

A)  (4, 3); Quadrant I 
B)  (   4, 3); Quadrant II 
C)  (   4, 0); Quadrant II 
D)  (   4,   3); Quadrant III 
E)  (4,   3); Quadrant IV 
A)  (4, 3); Quadrant I 
B)  (   4, 3); Quadrant II 
C)  (   4, 0); Quadrant II 
D)  (   4,   3); Quadrant III 
E)  (4,   3); Quadrant IV

Question 7

Find the point of intersection of the pair of straight lines.
y = 2x + 8
y = - 2x + 20

Accepted Answer

The answer of Find the point of intersection of the...

Question 8

For the supply equation, where x represents the quantity supplied in units of 1,000 and p is the unit price in dollars, determine the number of units of the commodity the supplier will make available in the market at the given unit price. Please round your answer to the nearest unit. 3x - 5p + 30 = 0; p = 7

Accepted Answer

A)  1,567 
B)  2,167 
C)  1,667 
D)  1,367 
A)  1,567 
B)  2,167 
C)  1,667 
D)  1,367

Question 9

Metro Department Store's annual sales (in millions of dollars) during 5 years were   Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.

Accepted Answer

A)      
B)      
C)      
A)      
B)      
C)

Question 10

Steel has been playing a decreasing role in the manufacture of beverage cans in the United States. According to the Can Manufacture Institute, the use of bimetallic cans has been dwindling while the use of all-aluminum cans has been growing steadily. The accompanying table gives the production (in billions) of all-aluminum cans over the period from 1975 through 1989:   Find an equation of the least-squares line for these data. (Let x = 1 represent the year 1975.) Please round the coefficients in your equation to three decimal places. Use the result to estimate the number of cans produced in 1994, assuming the trend continued.

Accepted Answer

A)  y = 4.834x + 11.857; 108.537 billion cans 
B)  y = 4.842x + 11.842; 108.659 billion cans 
C)  y = 4.834x + 11.857; 108.500 billion cans 
D)  y = 4.842x + 11.842; 108.682 billion cans 
A)  y = 4.834x + 11.857; 108.537 billion cans 
B)  y = 4.842x + 11.842; 108.659 billion cans 
C)  y = 4.834x + 11.857; 108.500 billion cans 
D)  y = 4.842x + 11.842; 108.682 billion cans

Question 11

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. ​   ​

Accepted Answer

A)  (7, 5); Quadrant III 
B)  (- 7, - 5); Quadrant IV 
C)  (7, 5); Quadrant I 
D)  (- 7, 5); Quadrant II 
A)  (7, 5); Quadrant III 
B)  (- 7, - 5); Quadrant IV 
C)  (7, 5); Quadrant I 
D)  (- 7, 5); Quadrant II

Question 12

Distance Traveled. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour.   __________ miles

Accepted Answer

The answer of Distance Traveled. A grand tour of four...

Question 13

Refer to the accompanying figure and determine the coordinates of the given point.
​   ​
Coordinates: __________
​
Determine the quadrant in which it is located: __________

Accepted Answer

The answer of Refer to the accompanying figure and determine...

Question 14

The management of a manufacturing company submitted the accompanying data in its annual stockholders report. The table shows the net sales (in millions of dollars) during the 5 years that have elapsed since the new management team took over:   (The first year the firm operated under the new management corresponds to the time period x = 1, and the four subsequent years correspond to x = 2, 3, 4, and 5.) Use the least-squares line to predict the net sales for the upcoming year.

Accepted Answer

A)  $479.6 million 
B)  $483.0 million 
C)  $477.9 million 
D)  $484.7 million 
E)  $481.3 million 
A)  $479.6 million 
B)  $483.0 million 
C)  $477.9 million 
D)  $484.7 million 
E)  $481.3 million

Question 15

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Accepted Answer

A)  (5, 5); Quadrant III 
B)  (- 5, 5); Quadrant II 
C)  (5, 5); Quadrant I 
D)  (- 5, - 5); Quadrant IV 
A)  (5, 5); Quadrant III 
B)  (- 5, 5); Quadrant II 
C)  (5, 5); Quadrant I 
D)  (- 5, - 5); Quadrant IV

Question 16

Sketch a set of coordinate axes and plot the given point. (1, 2)

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

What are the coordinates of point А?

Accepted Answer

A)  (2, 1) 
B)  (- 5, - 2) 
C)  (- 2, 4) 
A)  (2, 1) 
B)  (- 5, - 2) 
C)  (- 2, 4)

Question 18

Refer to the accompanying figure and determine the coordinates of the given point.
​   ​
Coordinates: __________
​
Determine the quadrant in which it is located: __________

Accepted Answer

​
(-3, -3)

Question 19

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Accepted Answer

A)  (- 7, - 7); Quadrant IV 
B)  (- 7, 7); Quadrant II 
C)  (7, 7); Quadrant I 
D)  (- 7, - 7); Quadrant III 
A)  (- 7, - 7); Quadrant IV 
B)  (- 7, 7); Quadrant II 
C)  (7, 7); Quadrant I 
D)  (- 7, - 7); Quadrant III

Question 20

Suppose the cost function associated with a product is   dollars and the revenue function is   , where c denotes the unit cost of production, s denotes the unit selling price, F denotes the fixed cost incurred by the firm, and x denotes the level of production and sales. ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Which point has coordinates ( 3, - 5)?

Find the distance between the given points. (2, 3) and (5, 7)

What are the coordinates of point B?

Find the point of intersection of the pair of straight lines. Round the answers to nearest three decimal places. 2x + 4y + 42 = 0

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Find the point of intersection of the pair of straight lines. y = 2x + 8 y = - 2x + 20

Metro Department Store's annual sales (in millions of dollars) during 5 years were Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Distance Traveled. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour. __________ miles

Refer to the accompanying figure and determine the coordinates of the given point. Coordinates: Determine the quadrant in which it is located:

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Sketch a set of coordinate axes and plot the given point. (1, 2)

What are the coordinates of point А?

Refer to the accompanying figure and determine the coordinates of the given point. Coordinates: Determine the quadrant in which it is located:

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Suppose the cost function associated with a product is dollars and the revenue function is , where c denotes the unit cost of production, s denotes the unit selling price, F denotes the fixed cost incurred by the firm, and x denotes the level of production and sales.

Systems of Linear Equations and Matrices

Linear Programming: a Geometric Approach

Linear Programming: an Algebraic Approach

Mathematics of Finance

Sets and Counting

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters

Exam 1: Straight Lines and Linear Functions

Which point has coordinates ( 3, - 5)?

Find the distance between the given points. (2, 3) and (5, 7)

What are the coordinates of point B?

Find the point of intersection of the pair of straight lines. Round the answers to nearest three decimal places. 2x + 4y + 42 = 0

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Find the point of intersection of the pair of straight lines. y = 2x + 8 y = - 2x + 20

Metro Department Store's annual sales (in millions of dollars) during 5 years were Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. ​ ​

Distance Traveled. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour. __________ miles

Refer to the accompanying figure and determine the coordinates of the given point. ​ ​ Coordinates: __________ ​ Determine the quadrant in which it is located: __________

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Sketch a set of coordinate axes and plot the given point. (1, 2)

What are the coordinates of point А?

Refer to the accompanying figure and determine the coordinates of the given point. ​ ​ Coordinates: __________ ​ Determine the quadrant in which it is located: __________

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Suppose the cost function associated with a product is dollars and the revenue function is , where c denotes the unit cost of production, s denotes the unit selling price, F denotes the fixed cost incurred by the firm, and x denotes the level of production and sales. ​

Systems of Linear Equations and Matrices

Linear Programming: a Geometric Approach

Linear Programming: an Algebraic Approach

Mathematics of Finance

Sets and Counting

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

Refer to the accompanying figure and determine the coordinates of the given point. Coordinates: Determine the quadrant in which it is located:

Refer to the accompanying figure and determine the coordinates of the given point. Coordinates: Determine the quadrant in which it is located:

Suppose the cost function associated with a product is dollars and the revenue function is , where c denotes the unit cost of production, s denotes the unit selling price, F denotes the fixed cost incurred by the firm, and x denotes the level of production and sales.