AnswersFL-1200330-Algebra 2 CRModeling with Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Equations — Unit test Answers

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1
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What is the true solution to the logarithmic equation?

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A
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Option A
B
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Option B
C
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Option C
D
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Option D
2
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Which of the following shows the graph of y = –(2)x – 1?

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Option
Option A
B
Option
Option B
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Option
Option C
D
Option
Option D
3

Which function has a horizontal asymptote of y = 3?

f
f(x) = 3(2x)
f
f(x) = 2(4)x–3
f
f(x) = 2(3x)
f
f(x) = 2(4x) + 3
4

Which of the following shows the extraneous solution to the logarithmic equation below?

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A
x = negative 6
Option A
B
x = negative 4
Option B
C
x = negative 2
Option C
D
x = negative 1
Option D
5

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

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A
15
B
32
C
320
D
737
6

What is the solution of ?

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A
6
B
9
C
18
D
81
7

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

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A
5 years
B
7 years
C
19 years
D
22 years
8

Which graph shows the solution to the equation below?

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A
On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = 1.
Option A
B
On a coordinate plane, a curves starts in quadrant 4 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = negative 1.
Option B
C
On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 1. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = 1.
Option C
D
On a coordinate plane, a curves starts in quadrant 3 and curves up into quadrant 1 and approaches y = 2. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = negative 1.
Option D
9

What are the domain and range of ?

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d
domain: x > 1; range: y > 2
d
domain: x > 1; range: all real numbers
d
domain: all real numbers; range: y > 1
d
domain: all real numbers; range: all real numbers
10

The two expressions below have the same value when rounded to the nearest hundredth.What is the approximate value of to the nearest hundredth?

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A
0.93
B
1.23
C
9.16
D
65.53
11

What are the solutions to

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A
x = negative 2 and x = negative 4
Option A
B
x = negative 1 and x = 8
Option B
C
x = 1 and x = negative 8
Option C
D
x = 2 and x = 4
Option D
12

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

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Option A
B
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Option B
C
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Option C
D
mc017-5.jpg
Option D
13

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars?

A
1.7 years
B
2.0 years
C
3.1 years
D
5.0 years
14

Which function is shown in the graph below?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

What is the range of the function f(x) = –2(6x) + 3?

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Option
Option A
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Option
Option B
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Option
Option C
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Option
Option D
16

Which of the following shows the true solution to the logarithmic equation solved below?

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A
x = negative 8
Option A
B
x = 1
Option B
C
and
Option C
D
and
Option D
17

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.

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A
1 hour
B
6 hours
C
13 hours
D
15 hours
18

Which is the graph of ?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

Jerome solved the equation below by graphing.Which of the following shows the correct system of equations and solution?

Question illustration
A
; x = 3
Option A
B
; x = 4
Option B
C
; x = 33
Option C
D
; x = 44
Option D

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