AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Modeling with Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Equations — Unit test Answers

8 verified answers2 views
1
Free Preview

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
2
Free Preview

If , what is the value of x?

Question illustration
A
–3
B
–2
C
2
D
3
3

What is the solution to

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
4

Identify the equation that translates five units down.

Question illustration
A
y = l n (x minus 5)
Option A
B
y = l n (x) + 5
Option B
C
y = l n (x + 5)
Option C
D
y = l n (x) minus 5
Option D
5

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

Question illustration
A
x = negative 8
Option A
B
x = 1
Option B
C
and
Option C
D
and
Option D
6

What is the range of the function graphed below?

Question illustration
A
y greater-than 0
Option A
B
y less-than 0
Option B
C
y less-than 0
Option C
D
y greater-than 0
Option D
7

Which graph shows the solution to the equation below?

Question illustration
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
8

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
9

What is the range of ?

Question illustration
A
all real numbers not equal to 0
B
all real numbers less than 6
C
all real number greater than 6
D
all real numbers
10

For what values of x does ?

Question illustration
A
x = –3, x = 1
B
x = –1, x = 3
C
x = negative three-halves, x = 2
Option C
D
x = negative 2, x = three-halves
Option D
11

If , what is the value of x?

Question illustration
A
–3
B
–2
C
2
D
3
13

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
14

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 ?

Question illustration
A
15
B
32
C
320
D
737
15

One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar?

A
mc017-1.jpg
Option A
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
mc017-4.jpg
Option D

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test