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

Unit Test — Unit test Answers

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Which of the following best describes how the y values are changing over each interval?xy122438416532

A
They are increasing by 2 each time.
B
They are increasing by 4 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
2
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Consider the expression . Which of the following is an equivalent expression?

Question illustration
A
mc002-2.jpg
Option A
B
mc002-3.jpg
Option B
C
mc002-4.jpg
Option C
D
mc002-5.jpg
Option D
3

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
4

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

A
Option
B
Option
C
Option
D
Option
5

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

Question illustration
A
add 12
B
multiply by 12
C
add 1, then 12, then 144
D
multiply by 1, then by 12, then by 144
6

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.
7

The graph of f(x) = (2.5)x and its reflection across the x-axis, g(x), are shown.

Question illustration
a
all real numbers
a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers less than or equal to 0
8

Which function represents exponential decay?

Question illustration
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) = 4
Option f
f
f(x) = 4
Option f
9

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?

T
The two functions have the same initial value.
T
The two functions will cross each other on the axis.
T
The two functions have reciprocal output values of each other for any given input value.
T
The two functions have opposite output values of each other for any given input value.
10

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.
11

A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation , where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is . Which of the following is an equivalent form of the equation for the population of sample 2?

Question illustration
A
mc006-3.jpg
Option A
B
mc006-4.jpg
Option B
C
mc006-5.jpg
Option C
D
mc006-6.jpg
Option D
12

The function f(x) = 8 is reflected across the y-axis to create g(x). Which table of values could be used to graph g(x)?

Question illustration
A
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 8, 32, 128.
Option A
B
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 0, 32, 128.
Option B
C
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, negative 8, negative 2, negative one-half.
Option C
D
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, 0, negative 2, negative one-half.
Option D
13

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%
14

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

g
g(x) = (1.6)x + 5 − 9
g
g(x) = (1.6)x + 5 + 9
g
g(x) = (1.6)x − 9 + 5
g
g(x) = (1.6)x + 9 + 5
15

An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

y
y = 7,746.90(1.02)x
y
y = 7,746.90(0.02)x
y
y = 7,595.96(1.02)x
y
y = 7,595.96(0.02)x
28

Referring to the investment pyramid above, explain what investments would be a wise starting point for the new investor.

Question illustration
Answer:

Investors should first invest in the investments shown at the bottom of the pyramid. These investments offer lower rewards, but there is a limited amount of risk involved. Investors should not move up the pyramid until they have built a solid foundation because, although the investments at the top provide greater potential returns, there is a greater degree of risk involved. The possibility of high rates of return are tempting to investors, but there are no guarantees that high risk investments will actually give higher rewards.

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