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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Which fraction represents the decimal 0.8888...?

A
StartFraction 80 Over 99 EndFraction
Option A
B
StartFraction 1,111 Over 1,250 EndFraction
Option B
C
Eight-ninths
Option C
D
Nine-eighths
Option D
22
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Which geometric series diverges?

A
Three-fifths + three-tenths + three-twentieths + StartFraction 3 Over 40 EndFraction + ellipsis
Option A
B
Negative 10 + 4 minus eight-fifths + StartFraction 16 Over 25 EndFraction minus ellipsis
Option B
C
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts two-thirds (negative 4) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts (negative 12) (one-fifth) Superscript n minus 1
Option D
23

An equation for the depreciation of a car is given by y = A(1 – r)t, where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and depreciates at a rate of 15% per year. How old is the car?

A
years
Option A
B
years
Option B
C
3 years
D
4 years
24

The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

Question illustration
A
The exponential function is generally growing slower than the linear function.
B
The exponential function is generally growing faster than the linear function.
C
The linear function is generally growing faster than the exponential function.
D
The exponential function and the linear function are generally growing at the same rate.
25

An equation for the depreciation of a car is given by y = A(1 – r)t, where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and depreciates at a rate of 15% per year. How old is the car?

A
years
Option A
B
years
Option B
C
3 years
D
4 years
26

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

Question illustration
A
1 hour
B
6 hours
C
13 hours
D
15 hours
27

What is the solution of Round your answer to the nearest hundredth.

Question illustration
A
mc017-2.jpg
Option A
B
mc017-3.jpg
Option B
C
mc017-4.jpg
Option C
D
mc017-5.jpg
Option D
28

Which formula can be used to describe the sequence?

Question illustration
A
f(x) = −3
Option A
B
f(x) = −3
Option B
C
f(x) = (3)x − 1
Option C
D
f(x) = (−3)x − 1
Option D
29

The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

Question illustration
A
The exponential function is generally growing slower than the linear function.
B
The exponential function is generally growing faster than the linear function.
C
The linear function is generally growing faster than the exponential function.
D
The exponential function and the linear function are generally growing at the same rate.
30

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

A
3 days
B
10 days
C
13 days
D
33 days
31

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

A
3 days
B
10 days
C
13 days
D
33 days

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