Exponential Functions Answers

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What is the growth factor of the following example? Assume time is measured in the units given.A diamond mine is depleted by 1% per day.

A
1.01 per day
B
0.01 per day
C
0.99 per day
D
99 per day
2
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Use the formula to calculate your salary after 4 years. Round your answer to the nearest dollar.

Question illustration
A
$42,400
B
$44,944
C
$47,641
D
$50,499
3

What is the growth factor of the following example? Assume time is measured in the units given.A forest shrinks 80% per century.

A
20 per century
B
0.20 per century
C
80 per century
D
0.80 per century
4

Every year, a lake becomes more polluted, and 2% fewer organisms can live in it. If in 2010 there are one million organisms, determine the number of organisms in the lake 5 years later. Let t = 0 represent the year 2010.

A
922,368 organisms remaining
B
941,192 organisms remaining
C
903,921 organisms remaining
D
960,400 organisms remaining
5

In 2006, the cost of a train ticket from Boston to New York was $73. Assume that the price rises by 10% per year. Determine the cost of the same ticket 10 years from 2006. Let t = 0 represent 2006.

A
$335.43
B
$156.48
C
$189.34
D
$172.13
6

Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t Write r as a percent.

Question illustration
A
a = 1750 b = 1.593 r = 0.593%
B
a = 1750 b = 1.593 r = 59.3%
C
a = 2787.75 b = 2.5376 r = 0.593%
D
a = 2787.75 b = 1.593 r = 59.3%
7

Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t. Write r as a percent.

Question illustration
A
a = 0.0022 b = 2.31 r = 1.31%
B
a = 0.0051 b = 231 r = 131%
C
a = 0.0051 b = 1.31 r = 1.31%
D
a = 0.0022 b = 2.31 r = 131%
8

What is the growth factor of the following example? Assume time is measured in the units given.A city grows by 28% per decade.

A
0.28 per decade
B
28 per decade
C
128 per decade
D
1.28 per decade
9

Find a formula for f(t), the size of a population that begins in year t=0 with 2200 members and decreases at a 3.2% annual rate. a. c. b. d. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
10

Use the formula to calculate your salary after 6 years. Round your answer to the nearest dollar.

Question illustration
A
$30,201
B
$29,264
C
$28,357
D
$27,478

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