Math1324
Chapter 2 Practice Test
Answers
1. A)
B)
C)
2. A)
p( x)  75  3(11)  $42
54  75  3x
demand is 7 million
21  3x
x7
f ( x)  0.024 x 2  0.73x  16.6
B)
C)
D)
3. A)
f (40)  0.024(40)2  0.73(40)  16.6  7.4
Toyota’s market share in 2020 will be 7.4%
Toyota’s market share increased from 1980 to 1995 and then decreased steadily until 2010.
f ( x)  0.012 x3  0.42 x 2  3.3x  244.24
B)
C)
f (42)  0.012(42)3  0.42(42)2  3.3(42)  244.24  531
Egg consumption in 2022 is 531 eggs per person.
Mathematics for Business & Social Sciences
Chapter 2 Practice Test
Answers
Page 1
4. A)
f ( x)  732.79(1.084) x
B)
C)
D)
f (28)  732.79(1.084)28  7011.314
The average salary in 2018 is $7,011,000 or $7 million
f (7)  732.79(1.084)7  1255.87
The model predicts $1.26 million. The actual average salary is slightly higher than the model.
5. A)
B)
C)
f (124)  418.96  118.08ln(124)  150.219
The yield in 2024 is 150 bushels per acre.
70  418.96  118.08ln x
488.96  118.08log e x
The yield was 70 bushels in 1963.
4.1409  log e x
x  e 4.1409  62.86
Mathematics for Business & Social Sciences
Chapter 2 Practice Test
Answers
Page 2
6. A)
B)
0% of the pollutants
5.5(20)
 1.358
101  20
5.5(50)
y
 5.392
50% of the pollutants
$5,392
101  50
5.5(90)
y
 45
90% of the pollutants
$45,000
101  90
5.5(99)
y
 272.25
99% of the pollutants
$272,250
101  99
Since the function has a vertical asymptote at x  101 , removing 100% is possible.
The cost of removing 100% of the pollutants would be $550,000.
20% of the pollutants
C)
$0
$1,358
Mathematics for Business & Social Sciences
y
Chapter 2 Practice Test
Answers
Page 3