Step Functions Answers

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What is the value of ?

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A
–13
B
–12
C
12
D
13
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.

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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 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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

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

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A
all integer values of x
B
all real number values of x
C
only negative values of x
D
only noninteger values of x
5

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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

What is the value of ?

Question illustration
A
–5
B
–4.6
C
–4.5
D
–4
7

For which x-values is the graph below discontinuous?

Question illustration
A
{...–3, –2, –1, 0, 1, 2, 3, ...}
B
{... –3, –1, 1, 3, ...}
C
{...–4, –2, 0, 2, 4, ...}
D
{...–3, –1, 0, 1, 3, ...}
8

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.
9

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

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A
The domain is all real numbers, and the range is all real numbers.
B
The domain is all integers, and the range is all integers that are multiples of 3.
C
The domain is all real numbers, and the range is all integers that are multiples of 3.
D
The domain is all integers, and the range is all real numbers.
10

What is the value of ?

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

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