AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Unit Test

Unit Test — Unit test Answers

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The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with their respective prices in 1983 and today.ItemPrice in 1983 ($)Current Price ($)Shower curtain8.8515.66Floor rug71.25119.75T-shirt13.9523.99Oscillating fan22.7537.50Using the prices shown on this chart, which of the following is a reasonable estimate of the current CPI?

A
164
B
170
C
185
D
199
34
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What are the domain and range of f(x) = + 2?

Question illustration
A
domain: ; range: {y | y > 0}
Option A
B
domain: ; range: {y | y > 2}
Option B
C
domain: {x | x is a real number}; range: {y | y > 2}
D
domain: {x | x is a real number}; range: {y | y > –2}
35

Solve the problem. Round to the nearest cent.Jason’s savings account has a balance of $1847. After 5 years, what will the amount of interest be at 6% compounded semiannually?

A
$294.18
B
$635.21
C
$554.10
D
$624.70
36

Which is the graph of f(x) = 2(3)x?

A
Option
B
Option
C
Option
D
Option
37

Which is the graph of f(x) = 2(3)x?

Question illustration
A
Option
B
Option
C
Option
D
Option
38

Each of the following is an example of a flexible expense EXCEPT:

A
food
B
clothing
C
insurance
D
entertainment
39

Consider the expression . Which of the following is an equivalent expression?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
40

Which value of a in the exponential function below would cause the function to shrink?f(x) = a

Question illustration
A
Four-fifths
Option A
B
Five-fourths
Option B
C
Three-halves
Option C
D
Seven-fourths
Option D
41

Atlanta, GA has a CPI of 168. Seattle, WA has a CPI of 204. How does the purchasing power of an Atlanta resident earning a $32,800 salary compare to the purchasing power of a Seattle resident earning a $46,400 salary?

A
The Atlanta resident has $34.46/CPI more than the Seattle resident.
B
The Atlanta resident has $83.20/CPI more than the Seattle resident.
C
The Seattle resident has $48.74/CPI more than the Atlanta resident.
D
The Seattle resident has $32.21/CPI more than the Atlanta resident.
42

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A
A whole number constant could have been added to the exponential expression.
A
A whole number constant could have been subtracted from the exponential expression.
A
A whole number constant could have been added to the exponent.
A
A whole number constant could have been subtracted from the exponent.
43

Tanisha is graphing the function f(x) = 25()x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?

Question illustration
A
(2, 9)
B
(2, –10)
C
(2, 14)
Option C
D
(2, 5)
44

When there is a high degree of risk to an investment opportunity there is a greater chance for the investor to __________.

A
lose the investment
B
make a small profit
C
receive a guarantee
D
liquidate the investment
45

A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determined using the equation . After three days, the scientist receives a second shipment of 100 milligrams of the same element. The equation used to represent the amount of shipment 2 remaining after t days is . After any time, t, the mass of the element remaining in shipment 1 is what percentage of the mass of the element remaining in shipment 2?

Question illustration
A
78.1%
B
81.2%
C
123.1%
D
128.0%
46

Money is invested into an account earning 4.25% interest compounded annually. If the accumulated value after 18 years will be $25,000, approximately how much money is presently in the account?

A
$5,875
B
$11,820
C
$19,125
D
$23,960
47

Over which interval are the exponential and linear function approximately the same?

Question illustration
f
from 0.25 to 0.5
f
from 0.5 to 0.75
f
from 0.75 to 1.0
f
from 1.25 to 1.5
48

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

A
g(x) = (1.6)x + 5 − 9
B
g(x) = (1.6)x + 5 + 9
C
g(x) = (1.6)x − 9 + 5
D
g(x) = (1.6)x + 9 + 5
49

An investment of $7,650 earns interest at the rate of 5% and is compounded quarterly. What is the accumulated value of the investment at the end of 9 years?

A
$11,964.17
B
$11,867.66
C
$9,338.56
D
$8,554.94
50

Which function represents exponential growth?

A
f(x) = 3x
B
f(x) = x3
C
f(x) = x + 3
D
f(x) = 3x
51

In the formula I=P·r·t, what does P stand for?

A
Percent: the interest rate expressed as a percentage
B
Principal: the amount of money you initially invested
C
Period: how often the interest is calculated
D
Payout: how much money you end up with
52

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.

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