AnswersCREDIT RE-SEAT MNPS Integrated Math III IC S1 26-27Comparing Exponential, Linear, and Quadratic Growth

Comparing Exponential, Linear, and Quadratic Growth — Unit test Answers

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21
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For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
22
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What is the sum of the infinite geometric series?

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A
–288
B
–216
C
–144
D
–72
23

Lena is asked to write an explicit formula for the graphed geometric sequence.

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A
1.0
B
1.5
C
2.5
D
2.0
24

What is the solution to the equation below?

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D
25

What are the potential solutions of

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
26

What is the common ratio of the sequence?-2, 6, -18, 54,...

A
−3
B
−2
C
3
D
8
27

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equation represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devon’s car? Use a calculator and round your answer to the nearest whole number.

Question illustration
A
1 year
B
2 years
C
5 years
D
8 years
28

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5% greater than the previous month’s total. She writes a recursive formula to describe the account balances.

A
0.05
B
0.5
C
1.05
D
5.0
29

Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. After c years, Calvin has $658.80. Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. After m years, Makayla has $613.04. What is the approximate difference in the number of years that Calvin and Makayla have their money invested?

A
Makayla invests her money 1 year longer.
B
Makayla invests her money 2 years longer.
C
Calvin invests his money 1 year longer.
D
Calvin invests his money 2 years longer.
30

What is the true solution to the equation below?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
31

Which geometric series converges?

A
StartFraction 1 Over 81 EndFraction + StartFraction 1 Over 27 EndFraction + one-ninth + one-third + ellipsis
Option A
B
1 + one-half + one-fourth + one-eighth + ellipsis
Option B
C
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1
Option D
32

What is the solution to the equation below?

Question illustration
A
mc008-2.jpg
Option A
B
mc008-3.jpg
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D
33

Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. After c years, Calvin has $658.80. Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. After m years, Makayla has $613.04. What is the approximate difference in the number of years that Calvin and Makayla have their money invested?

A
Makayla invests her money 1 year longer.
B
Makayla invests her money 2 years longer.
C
Calvin invests his money 1 year longer.
D
Calvin invests his money 2 years longer.
34

What is the solution to the equation below?

Question illustration
A
mc008-2.jpg
Option A
B
mc008-3.jpg
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D
35

Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2 If the number of employees is an indicator of a successful business, in which company should Ajay invest?

Question illustration
A
company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year
B
company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year
C
company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year
D
company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year
36

1.2, 3, 7.5, 18.75, ...

A
f(x) = 1.2(2.5)x – 1
B
f(x) = 2.5(1.2)x – 1
C
f(x) = 1.2(2.5)x
D
f(x) = 2.5(1.2)x
37

The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. A basic solution has a pH of 11.2. An acidic solution has a pH of 2.4. What is the approximate difference in the concentration of hydrogen ions between the two solutions?

A
mc018-1.jpg
Option A
B
mc018-2.jpg
Option B
C
mc018-3.jpg
Option C
D
mc018-4.jpg
Option D
38

A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?

A
2.5 days
B
5.0 days
C
46.6 days
D
66.7 days
39

Which is the graph of the sequence defined by the function f(x + 1) = f(x) if the initial value of the sequence is 108?

Question illustration
A
Option
B
Option
C
Option
D
Option
40

What is the solution to the equation

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D

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