Math 131 Exam I Sample Questions Worksheet With Answer Key - Washington University
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6Math 131 Exam I "Sample Questions"
This is a compilation of exam I questions from old exams (written by various instructors). They cover
all of chapter one, except for 1.3. The solutions can be found at the end of the document.
1.
A city has an annual population growth rate of 2%. Assuming exponential growth, how many
years will it take the population to double? ( to the nearest year)
a) 8 years
b) 17 years
c) 23 years
d) 35 years
e) none of the above
=
=
2.
t
kt
Given the equation
P
181
.
( 6
. 0
95
)
, convert this to the form
P
P
e
.
0
=
t
. 2
59
a)
P
. 5
20
e
=
. 0
051
t
b)
P
172
.
52
e
=
−
. 0
051
t
c)
181
6 .
P
e
=
. 2
59
t
d)
P
181
6 .
e
e) none of the above
3.
What is the effective annual yield of an investment paying at a 10% annual rate, compounded
quarterly?
a) 10.38 %
b) 11.05 %
c) 10.47 %
d) 10.52 %
e) none of the above
−
−
+
4.
2
2
ln(
x
y
)
ln(
x
y
)
Simplify the expression:
−
2
x
y
ln[(
)
]
5.
Which formula best represents the relationship shown in the table?
x
2
2.2
2.4
2.6
2.8
f(x)
2
2.42
2.88
3.38
3.92
a) f(x) = mx + b
=
2
b)
f
(
x
)
ax
=
3
c)
f
(
x
)
ax
=
⋅
x
d)
f
(
x
)
a
b
=
y =
6.
x
3
Use your calculator to find all intersection points of
y
2
and
x
. Round to 3 decimal
places. Which function dominates as x approaches infinity?
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