Find the slope of the line passing through the points (9, 2) and (-5, 9).

 

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Question 1

The graph below shows the total weekly dollar profit of a widget factory [vertical axis] as a function of the number of widgets sold weekly [horizontal axis].  Which statement A - D below is the correct interpretation of the slope of the line?

a 

Select one:

A. 

The factory sells 60 widgets per week.

B. 

Each additional 400 widgets sold increases profit by $10.

C. 

Profit will be $550. when 20 widgets are sold.

D. 

Each additional widget sold increases profit by $40.

E. 

None of the above statements is the correct interpretation.

Question 2

The graph shows the number of work-related fatal injuries from four different causes for the years 1992 through 2009.

Find the average rate of change, rounded to the nearest whole number, of fatal highway incidents from 1999 through 2009.

a

Select one:

A. 

There was an average increase of approximately 51 fatalities per year.

B. 

There was an average decrease of approximately 51 fatalities per year.

C. 

There was an average decrease of approximately 10 fatalities per year.

D. 

There was an average increase of approximately 34 fatalities per year.

E. 

There was an average decrease of approximately 38 fatalities per year.

Question 3

Determine the x-intercepts [horizontal intercepts] of the function shown below:

q

Select one:

A. x = -3

B. x = -3, x = 3

C. x = -1, x = 1, x = 3

D. x = -3, x = -1, x = 1, x = 3

E. x = -1, x = 0, x = 1, x = 3

Question 4

Evaluate the function f(x) = x2 - 1 at x = -5.

Select one:

A. 

-26

B. 

-24

C. 

-1

D. 24

E. 

-11

Question 5

Find the slope of the line passing through the points (9, 2) and (-5, 9).

Select one:

A. 

4/3

B. 

0

C. 

-2

D. -1/2

E. 

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Question 6

Write an equation for the line in slope-intercept form if it has slope -4 and passes through (-2, 3).

Select one:

A. y - 3 = x + 2

B. y = -4x - 5

C. y - 3 = -4x + 2

D. y = -4x + 5

E. y = -4x - 11

Question 7

Write an equation for the line passing through (2, 3) and parallel to the line whose equation is 8x + y - 2 = 0.

Select one:

A. 

y = -8x - 19

B. 

y = -8x + 19

C. 

y = 8x - 19

D. 

y = -(1/8)x - (19/8)

E. 

None of the above

Question 8

A truck costs $60,000 new and its value depreciates by $8000 per year.  Write a linear function that models the value of the truck as a function of t, its age in years.

Select one:

A. f(t) = 60000 - 8000

B. f(t) = 8000t - 60000

C. t = 60000 - 8000t

D. f(t) = 60000 - 8000t

E. f(t) = 8000t  + 60000

Question 9

NUMBER OF DIVORCES PER 1000 MARRIED WOMEN

The graph shows the number of divorces per 1000 married women, for the years 1960-2011.

On what interval(s) is the function increasing?

Select one:

A. 

(1960,2011)

B. 

(1960,1980)

C. 

(2000,2011)

D. 

(1960,1980) and (2000,2011)

E. 

None of the above.

Question 10

Referring to the graph in Question #9:  Identify the local maximums, if any, of the function.

Select one:

A. 

22.6 in 1980 and 20.9 in 2011.

B. 

18.8 in 2000.

C. 

22.6 in 1980.

D. 

9.2 in 1960.

E. 

There is no local maximum.

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