Question 1

Find the break-even point for the firm whose cost function C and revenue function R are given.   ;

Accepted Answer

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

Question 2

The demand equation for a certain brand of fax machine is 4x + p - 1,550 = 0, where x is the quantity demanded per week and p is the unit price in dollars. The supply equation is 3x - 4p + 2,400 = 0, where x is the quantity the supplier will make available in the market when the unit price is p dollars. Find the equilibrium quantity and the equilibrium price for the fax machines.

Accepted Answer

A)  equilibrium quantity 200 units; equilibrium price $750 
B)  equilibrium quantity 200 units; equilibrium price $850 
C)  equilibrium quantity 90 units; equilibrium price $850 
D)  equilibrium quantity 90 units; equilibrium price $750 
A)  equilibrium quantity 200 units; equilibrium price $750 
B)  equilibrium quantity 200 units; equilibrium price $850 
C)  equilibrium quantity 90 units; equilibrium price $850 
D)  equilibrium quantity 90 units; equilibrium price $750

Question 3

Find the coordinates of the points that are 5 units away from the origin and have an x-coordinate equal to -3.

Accepted Answer

The answer of Find the coordinates of the points that...

Question 4

Find the point of intersection of the pair of straight lines.

Accepted Answer

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

Question 5

Consider the supply equation   , where x is 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   .

Accepted Answer

A)  2,400 
B)  2,700 
C)  3,000 
D)  3,300 
E)  3,600 
A)  2,400 
B)  2,700 
C)  3,000 
D)  3,300 
E)  3,600

Question 6

Sketch a set of coordinate axes and plot the given point. (5, 5)

Accepted Answer

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

Question 7

What are the coordinates of point С?

Accepted Answer

A)  (- 4, - 4) 
B)  (- 3, 5) 
C)  (4, 2) 
A)  (- 4, - 4) 
B)  (- 3, 5) 
C)  (4, 2)

Question 8

Find the point of intersection of the pair of straight lines.

Accepted Answer

A)  (- 27, - 39) 
B)  (- 28, - 38) 
C)  (- 27, - 38) 
D)  (- 28, - 39) 
A)  (- 27, - 39) 
B)  (- 28, - 38) 
C)  (- 27, - 38) 
D)  (- 28, - 39)

Question 9

The projected number of wireless subscribers y (in millions) from 2000 through 2006 is summarized in the accompanying table:   (Here, x = 0 corresponds to the beginning of 2000.) Find an equation of the least-squares line for these data. Please round the coefficients in your equation to two decimal places. Use the result to estimate the projected number of wireless subscribers at the beginning of 2007.

Accepted Answer

A)  y = 10x + 90.34; 160.34 million 
B)  y = 9.97x + 90.31; 160.10 million 
C)  y = 10x + 90.34; 160.57 million 
D)  y = 9.97x + 90.31; 159.94 million 
A)  y = 10x + 90.34; 160.34 million 
B)  y = 9.97x + 90.31; 160.10 million 
C)  y = 10x + 90.34; 160.57 million 
D)  y = 9.97x + 90.31; 159.94 million

Question 10

Find an equation of the circle that satisfies the conditions. Center   and radius 2

Accepted Answer

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

Question 11

For the demand equation, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, determine the quantity demanded corresponding to the unit price p = 5. 5x + 4p - 40 = 0

Accepted Answer

A)  3,000 
B)  4,500 
C)  4,000 
D)  5,500 
A)  3,000 
B)  4,500 
C)  4,000 
D)  5,500

Question 12

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

Accepted Answer

A)  (   1,   2); Quadrant III 
B)  (1, 2); Quadrant I 
C)  (1,   2); Quadrant IV 
D)  (   1, 0); Quadrant II 
E)  (   1, 2); Quadrant II 
A)  (   1,   2); Quadrant III 
B)  (1, 2); Quadrant I 
C)  (1,   2); Quadrant IV 
D)  (   1, 0); Quadrant II 
E)  (   1, 2); Quadrant II

Question 13

A certain economy's consumption function is given by the equation   where   is the personal consumption expenditure in billions of dollars and x is the disposable personal income in billions of dollars. Find   ,   , and   .

Accepted Answer

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

Question 14

Match each graph below with the letter of the corresponding slope description.
a.The slope of the line is zero.
b.The slope of the line is negative, and its y-intercept is negative.
c.The slope of the line is positive, and its x-intercept is positive.
-

Accepted Answer

The answer of Match each graph below with the letter...

Question 15

What are the coordinates of point C?

Accepted Answer

The answer of What are the coordinates of point C?...

Question 16

Find the break-even point for the firm whose cost function C and revenue function R are given. C(x) = 5x + 10,000; R(x) = 15x

Accepted Answer

A)  For a break-even operation, the firm should manufacture 10,000 units of its product, resulting in a break-even revenue of $15,000. 
B)  For a break-even operation, the firm should manufacture 10,000 units of its product, resulting in a break-even revenue of $7,500. 
C)  For a break-even operation, the firm should manufacture 1,000 units of its product, resulting in a break-even revenue of $7,500. 
D)  For a break-even operation, the firm should manufacture 1,000 units of its product, resulting in a break-even revenue of $15,000. 
A)  For a break-even operation, the firm should manufacture 10,000 units of its product, resulting in a break-even revenue of $15,000. 
B)  For a break-even operation, the firm should manufacture 10,000 units of its product, resulting in a break-even revenue of $7,500. 
C)  For a break-even operation, the firm should manufacture 1,000 units of its product, resulting in a break-even revenue of $7,500. 
D)  For a break-even operation, the firm should manufacture 1,000 units of its product, resulting in a break-even revenue of $15,000.

Question 17

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts. ​   ​

Accepted Answer

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

Question 18

Let   and   be two nonvertical straight lines in the plane with equations   and   , respectively. Find conditions on   ,   ,   and   so that   and   intersect at infinitely many points.

Accepted Answer

The answer of Let   and   be...

Question 19

Determine whether the equation defines y as a linear function of x. If so, write it in the form
y = mx + b . If not, answer non-linear.
4x + 5y = 15

Accepted Answer

The answer of Determine whether the equation defines y as...

Question 20

Find an equation of the line that passes through the point (2, - 2) and has the slope m = 2.

Accepted Answer

The answer of Find an equation of the line that...

Find the break-even point for the firm whose cost function C and revenue function R are given. ;

Find the coordinates of the points that are 5 units away from the origin and have an x-coordinate equal to -3.

Find the point of intersection of the pair of straight lines.

Consider the supply equation , where x is 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 .

Sketch a set of coordinate axes and plot the given point. (5, 5)

What are the coordinates of point С?

Find the point of intersection of the pair of straight lines.

Find an equation of the circle that satisfies the conditions. Center and radius 2

For the demand equation, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, determine the quantity demanded corresponding to the unit price p = 5. 5x + 4p - 40 = 0

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

A certain economy's consumption function is given by the equation where is the personal consumption expenditure in billions of dollars and x is the disposable personal income in billions of dollars. Find , , and .

Match each graph below with the letter of the corresponding slope description. a.The slope of the line is zero. b.The slope of the line is negative, and its y-intercept is negative. c.The slope of the line is positive, and its x-intercept is positive. -

What are the coordinates of point C?

Find the break-even point for the firm whose cost function C and revenue function R are given. C(x) = 5x + 10,000; R(x) = 15x

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.

Let and be two nonvertical straight lines in the plane with equations and , respectively. Find conditions on , , and so that and intersect at infinitely many points.

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b . If not, answer non-linear. 4x + 5y = 15

Find an equation of the line that passes through the point (2, - 2) and has the slope m = 2.

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

Find the break-even point for the firm whose cost function C and revenue function R are given. ;

Find the coordinates of the points that are 5 units away from the origin and have an x-coordinate equal to -3.

Find the point of intersection of the pair of straight lines.

Consider the supply equation , where x is 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 .

Sketch a set of coordinate axes and plot the given point. (5, 5)

What are the coordinates of point С?

Find the point of intersection of the pair of straight lines.

Find an equation of the circle that satisfies the conditions. Center and radius 2

For the demand equation, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, determine the quantity demanded corresponding to the unit price p = 5. 5x + 4p - 40 = 0

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

A certain economy's consumption function is given by the equation where is the personal consumption expenditure in billions of dollars and x is the disposable personal income in billions of dollars. Find , , and .

Match each graph below with the letter of the corresponding slope description. a.The slope of the line is zero. b.The slope of the line is negative, and its y-intercept is negative. c.The slope of the line is positive, and its x-intercept is positive. -

What are the coordinates of point C?

Find the break-even point for the firm whose cost function C and revenue function R are given. C(x) = 5x + 10,000; R(x) = 15x

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts. ​ ​

Let and be two nonvertical straight lines in the plane with equations and , respectively. Find conditions on , , and so that and intersect at infinitely many points.

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b . If not, answer non-linear. 4x + 5y = 15

Find an equation of the line that passes through the point (2, - 2) and has the slope m = 2.

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

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.