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# For each trip, a taxi company charges a fixed fee of $2.00 plus$0.75

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Current Student
Joined: 30 Dec 2015
Posts: 186

Kudos [?]: 101 [0], given: 98

Location: United States
Concentration: Strategy, Organizational Behavior
GPA: 3.88
WE: Business Development (Hospitality and Tourism)
For each trip, a taxi company charges a fixed fee of $2.00 plus$0.75 [#permalink]

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28 Mar 2016, 08:20
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Difficulty:

85% (hard)

Question Stats:

51% (01:04) correct 49% (01:15) wrong based on 343 sessions

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For each trip, a taxi company charges a fixed fee of $2.00 plus$0.75 for each 1/2 mile or fraction of 1/2 miles. If, for every number x, [ x ] is defined to be the least integer greater than or equal to x, then which of the following represents the company's charge, in dollars, for a trip that is r miles long?

A. 2.00 + [ $$\frac{0.75r}{2}$$ ]
B. 2.00 + 0.75[ $$\frac{r}{2}$$ ]
C. 2.00 + 0.75[ r ]
D. 2.00 + [1.5r ]
E. 2.00 + 0.75 [ 2r]
[Reveal] Spoiler: OA

Kudos [?]: 101 [0], given: 98

Math Expert
Joined: 02 Aug 2009
Posts: 5212

Kudos [?]: 5851 [11], given: 117

Re: For each trip, a taxi company charges a fixed fee of $2.00 plus$0.75 [#permalink]

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28 Mar 2016, 08:37
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lpetroski wrote:
For each trip, a taxi company charges a fixed fee of $2.00 plus$0.75 for each 1/2 mile or fraction of 1/2 miles. If, for every number x, [ x ] is defined to be the least integer greater than or equal to x, then which of the following represents the company's charge, in dollars, for a trip that is r miles long?

A. 2.00 + [ $$\frac{0.75r}{2}$$ ]
B. 2.00 + 0.75[ $$\frac{r}{2}$$ ]
C. 2.00 + 0.75[ r ]
D. 2.00 + [1.5r ]
E. 2.00 + 0.75 [ 2r]

Hi,
Fixed fee= 2.00
fee dependent on miles = 0.75 per 1/2 mile or fraction there off
no of miles = r
no of 1/2 miles= 2r..
and to convert 2r into integer mile [2r]..
total cost on miles= 0.75[2r]..
total = 2.00 + 0.75 [ 2r]

E
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Kudos [?]: 5851 [11], given: 117

Manager
Joined: 27 Jul 2011
Posts: 61

Kudos [?]: 76 [0], given: 15

Re: For each trip, a taxi company charges a fixed fee of $2.00 plus$0.75 [#permalink]

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05 Apr 2016, 14:38
Use substitution,
If
r=3.7; [r]=4
r=3.2; [r]=4

Therefore
Charges $0.75 = 0.5 mile$ y = 4 miles