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

Step Functions Answers

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Used books cost $2.25 each. Which expression represents the total number of books that can be purchased for $10?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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For which x-values is the graph below discontinuous?

Question illustration
{
{...–3, –2, –1, 0, 1, 2, 3, ...}
{
{... –3, –1, 1, 3, ...}
{
{...–4, –2, 0, 2, 4, ...}
{
{...–3, –1, 0, 1, 3, ...}
3

What is the value of ?

Question illustration
3
3
3
3.5
3
3.6
4
4
4

What is the value of ?

Question illustration
–
–5
–
–4.6
–
–4.5
–
–4
5

In the function , which values of the function are equivalent?

Question illustration
f
f(–1) and f(–2)
f
f(1) and f(0)
f
f(–3) and f(–2.1)
f
f(2) and f(1.9)
6

What is the value of ?

Question illustration
A
–36
B
–33
C
–32
D
–30
7

What are the domain and range of the step function with the equation below?

Question illustration
T
The domain is all real numbers, and the range is all real numbers.
T
The domain is all integers, and the range is all integers that are multiples of 3.
T
The domain is all real numbers, and the range is all integers that are multiples of 3.
T
The domain is all integers, and the range is all real numbers.
8

Which statement describes the graph of on [0, 3)?

Question illustration
T
The steps are at y = –2 for , at y = –1 for , and at y = 0 for .
Option T
T
The steps are at y = 0 for , at y = 1 for , and at y = 2 for .
Option T
T
The steps are at y = 1 for , at y = 2 for , and at y = 3 for .
Option T
T
The steps are at y = –3 for , at y = –2 for , and at y = –1 for .
Option T
9

Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate the price of his taxi ride, Jeremiah came up with the equation P = 1.80 + 2.50, where x is the number of miles or partial miles traveled in the taxi.Explain the meaning of the constant 2.50 as it relates to the situation.

Question illustration
$
$2.50 is the base amount that Jeremiah must pay in order for the taxi to pick him up before he has been driven anywhere.
$
$2.50 is the amount Jeremiah must pay as long as the taxi has not driven a complete mile.
F
For every mile or partial mile the taxi drives, Jeremiah must pay an additional $2.50.
J
Jeremiah must pay $2.50 plus $1.80, or $4.30, per mile for each taxi ride.
10

Which set of numbers best describes the possible values of x in the equation below?

Question illustration
a
all integer values of x
a
all real number values of x
o
only negative values of x
o
only noninteger values of x
11

The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not including 1 pound, and $3.80 for each additional pound or portion of a pound. A model for the total cost C (in dollars) of sending the package is C = 23.50 + 3.80, x > 0, where x is the weight (in pounds). What is the meaning of the coefficient 3.80 in the context of the problem?

Question illustration
A
When the package weighs less than one pound, the price of the package is $3.80.
B
For every pound that the package weight increases, the price of sending it increases by $3.80.
C
For every pound that the package weight increases, the price of sending it increases by $23.50.
D
When the package weighs less than one pound, the price of the package is $23.50.
12

The United States Postal Service charges $0.55 to mail a first-class letter that weighs up to 1 ounce. Each additional ounce costs $0.15. Which equation represents the situation?

A
mc029-1.jpg
Option A
B
mc029-2.jpg
Option B
C
mc029-3.jpg
Option C
D
mc029-4.jpg
Option D
13

Which statement explains why the value of is 2 but the value of is –3?

Question illustration
A
because 2 is the greatest integer not greater than 2.4, and –3 is the greatest integer not greater than –2.4
B
because 2.4 rounds to 2, and –2.4 rounds to –3
C
because 2.4 is positive, and –2.4 is negative
D
because 2 is the least integer greater than 2.4, and –3 is the least integer greater than –2.4
14

Kareem wrote the expressions shown below.Which pair is equivalent?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
15

What is the value of ?

Question illustration
A
–2
B
–1
C
0
D
1
16

What is the value of ?

Question illustration
A
–13
B
–12
C
12
D
13
17

A skate shop rents roller skates as shown in the table below. Roller Skate RentalsTimeCostup to 60 minutes$5up to 2 hours$10up to 5 hours$20daily$25Which graph and function model this situation, where c is the cost, in dollars, of renting skates, and t is the number of hours in a single day that the skates are rented?

A
mc024-1.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-5.jpg
Option C
D
mc024-7.jpg
Option D

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