Description
2011 Single Variable Calculus: Early Transcendentals, 7th Edition Test Bank
Stewart_Calc_7ET ch01sec02
MULTIPLE CHOICE
 Many physical quantities are connected by inverse square laws, that is, by power functions of the form
.
In particular, the illumination of an object by a light source is inversely proportional to the square of the distance from the source. Suppose that after dark you are in a room with just one lamp and you are trying to read a book. The light is too dim and so you move
the distance to the lamp. How much brighter is the light?
a.  times

b.  times

c.  times

d.  times

e.  times

ANS: C PTS: 1 DIF: Medium REF: 1.2.25
MSC: Bimodal NOT: Section 1.2
 Scientists have discovered that a linear relationship exists between the amount of flobberworm mucus secretions and the air temperature. When the temperature is 65°F, the flobberworms each secrete 16 grams of mucus a day; when the temperature is 95°F, they each secrete 22 grams of mucus a day. Find a function M(t) that gives the amount of mucus secreted on a given day, where t is the temperature of that day in degrees Fahrenheit.
a.  
b.  
c.  
d. 
ANS: D PTS: 1 DIF: Medium REF: 1.2.15a
MSC: Bimodal NOT: Section 1.2
 The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.
What is the Fintercept and what does it represent?
a.  , Fahrenheit temperature corresponding to

b.  , Celsius temperature corresponding to 
c.  32, Celsius temperature corresponding to

d.  0, Fahrenheit temperature corresponding to

e.  32, Fahrenheit temperature corresponding to

ANS: E PTS: 1 DIF: Medium REF: 1.2.13b
MSC: Bimodal NOT: Section 1.2
 The monthly cost of driving a car depends on the number of miles driven. Julia found that in October it cost her to drive mi and in July it cost her to drive mi. Express the monthly cost C as a function of the distance driven d assuming that a linear relationship gives a suitable model.
a.  
b.  
c.  
d.  
e. 
ANS: C PTS: 1 DIF: Medium REF: 1.2.18a
MSC: Bimodal NOT: Section 1.2
NUMERIC RESPONSE
 It makes sense that the larger the area of a region, the larger the number of species that inhabit the region. Many ecologists have modeled the speciesarea relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in of the caves by the equation
(a) The cave called mission impossible near puebla, mexico, has suface area of .
How many species of bats would expect to find in that cave?
(b) If you discover that species of bats live in cave estimate the area of the cave.
ANS:
 a) species
 b)
PTS: 1 DIF: Medium REF: 1.2.26
MSC: Numerical Response NOT: Section 1.2
 The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.
Complete the table and find the slope.
ANS: ; slope =
PTS: 1 DIF: Medium REF: 1.2.13b
MSC: Numerical Response NOT: Section 1.2