Question 1

Identify which points have lines drawn through them that are not tangent to the graph.

Accepted Answer

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

Question 2

A graph of a model for the sales of services between 2004 and 2008 by Kelly Services, Inc., a leading global provider of staffing services, is shown below.   Calculate the percentage change in Kelly's sales between 2004 and 2007.

Accepted Answer

A)  $822 million 
B)  $4860 million 
C)  $411 million 
D)  $10542 million 
E)  $5271 million 
A)  $822 million 
B)  $4860 million 
C)  $411 million 
D)  $10542 million 
E)  $5271 million

Question 3

The figure shows the terminal speed, in meters per second, of a raindrop as a function of the size of the drop measured in terms of its diameter.   Estimate the slope of secant line connecting the points for diameters of 1 mm and 5 mm.

Accepted Answer

A)  1.275 m/s per mm 
B)  2.217 m/s per mm 
C)  3.325 m/s per mm 
D)  5 m/s per mm 
E)  4 m/s per mm 
A)  1.275 m/s per mm 
B)  2.217 m/s per mm 
C)  3.325 m/s per mm 
D)  5 m/s per mm 
E)  4 m/s per mm

Question 4

By imagining tangent lines at points   state whether the slopes are positive, zero, or negative at these points.

Accepted Answer

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

Question 5

Clinton County, Michigan, is mostly flat farmland partitioned by straight roads (often gravel) that run either north/south or east/west. A tractor driven north on Lowell Road from the Schafers farm's mailbox is   miles north of Howe Road t minutes after leaving the farm's mailbox. How far is the Schafers' mailbox from Howe Road.

Accepted Answer

A)  0.4 miles 
B)  0.28 miles 
C)  0.68 miles 
D)  0.12 miles 
E)  2.8 miles 
A)  0.4 miles 
B)  0.28 miles 
C)  0.68 miles 
D)  0.12 miles 
E)  2.8 miles

Question 6

A graph of a model for the sales of services between 2004 and 2008 by Kelly Services, Inc., a leading global provider of staffing services, is shown below.   Calculate the percentage change in Kelly's sales between 2006 and 2007.

Accepted Answer

A)  increased by 2.823%. 
B)  decreased by 2.823%. 
C)  increased by 2.746%. 
D)  decreased by 0.028%. 
E)  increased by 0.028%. 
A)  increased by 2.823%. 
B)  decreased by 2.823%. 
C)  increased by 2.746%. 
D)  decreased by 0.028%. 
E)  increased by 0.028%.

Question 7

For a certain brand of bicycle,   Canadian dollars gives the profit from the sale of x mountain bikes. On June 27, 2009, P Canadian dollars were worth   American dollars. Assume that this conversion applies today. Write a function for profit in American dollars from the sale of x mountain bikes.

Accepted Answer

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

Identify which points have lines drawn through them that are not tangent to the graph.

A graph of a model for the sales of services between 2004 and 2008 by Kelly Services, Inc., a leading global provider of staffing services, is shown below. Calculate the percentage change in Kelly's sales between 2004 and 2007.

The figure shows the terminal speed, in meters per second, of a raindrop as a function of the size of the drop measured in terms of its diameter. Estimate the slope of secant line connecting the points for diameters of 1 mm and 5 mm.

By imagining tangent lines at points state whether the slopes are positive, zero, or negative at these points.

A graph of a model for the sales of services between 2004 and 2008 by Kelly Services, Inc., a leading global provider of staffing services, is shown below. Calculate the percentage change in Kelly's sales between 2006 and 2007.

For a certain brand of bicycle, Canadian dollars gives the profit from the sale of x mountain bikes. On June 27, 2009, P Canadian dollars were worth American dollars. Assume that this conversion applies today. Write a function for profit in American dollars from the sale of x mountain bikes.

Ingredients of Change: Functions an Limits

Determining Change: Derivatives

Analyzing Change: Applications of Derivatives

Accumulating Change: Limits of Sums and the Definite Integral

Analyzing Accumulated Change: Integrals in Action

Ingredients of Multivariable Change: Models, Graphs, Rates

Analyzing Multivariable Change: Optimization

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Exam 2: Describing Change: Rates

Identify which points have lines drawn through them that are not tangent to the graph.

A graph of a model for the sales of services between 2004 and 2008 by Kelly Services, Inc., a leading global provider of staffing services, is shown below. Calculate the percentage change in Kelly's sales between 2004 and 2007.

The figure shows the terminal speed, in meters per second, of a raindrop as a function of the size of the drop measured in terms of its diameter. Estimate the slope of secant line connecting the points for diameters of 1 mm and 5 mm.

By imagining tangent lines at points state whether the slopes are positive, zero, or negative at these points.

A graph of a model for the sales of services between 2004 and 2008 by Kelly Services, Inc., a leading global provider of staffing services, is shown below. Calculate the percentage change in Kelly's sales between 2006 and 2007.

For a certain brand of bicycle, Canadian dollars gives the profit from the sale of x mountain bikes. On June 27, 2009, P Canadian dollars were worth American dollars. Assume that this conversion applies today. Write a function for profit in American dollars from the sale of x mountain bikes.

Ingredients of Change: Functions an Limits

Determining Change: Derivatives

Analyzing Change: Applications of Derivatives

Accumulating Change: Limits of Sums and the Definite Integral

Analyzing Accumulated Change: Integrals in Action

Ingredients of Multivariable Change: Models, Graphs, Rates

Analyzing Multivariable Change: Optimization

Filters