AnswersVA-Mathematical AnalysisStep Functions

Step Functions Answers

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1
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Where is the graph of discontinuous?

Question illustration
A
all real numbers
B
all integers
C
only at multiples of 3
D
only at multiples of 4
2
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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
A
$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.
B
$2.50 is the amount Jeremiah must pay as long as the taxi has not driven a complete mile.
C
For every mile or partial mile the taxi drives, Jeremiah must pay an additional $2.50.
D
Jeremiah must pay $2.50 plus $1.80, or $4.30, per mile for each taxi ride.
3

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound. Which equation represents the cost, in dollars, of shipping a package that weighs x pounds?

A
, where x > 0
Option A
B
, where x > 0
Option B
C
, where x > 0
Option C
D
, where x > 0
Option D
4

What is the value of ?

Question illustration
A
–36
B
–33
C
–32
D
–30
5

What is the value of ?

Question illustration
A
–13
B
–12
C
12
D
13
6

What is the value of ?

Question illustration
A
3
B
3.5
C
3.6
D
4
7

What is the value of ?

Question illustration
A
–2
B
–1
C
0
D
1
8

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

A
mc021-1.jpg
Option A
B
mc021-2.jpg
Option B
C
mc021-3.jpg
Option C
D
mc021-4.jpg
Option D
9

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
10

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

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