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# The height of a tree increases by x feet each year. At the start of a

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The height of a tree increases by x feet each year. At the start of a  [#permalink]

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21 Jan 2019, 01:14
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15% (low)

Question Stats:

88% (01:19) correct 13% (01:44) wrong based on 21 sessions

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The height of a tree increases by x feet each year. At the start of a certain year, the height of the tree is 10 feet. If the height of the tree is 60 feet after 8 years, what is the value of x?

A 6.25
B 7.75
C 8
D 8.25
E 9

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Re: The height of a tree increases by x feet each year. At the start of a  [#permalink]

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21 Jan 2019, 05:40
Bunuel wrote:
The height of a tree increases by x feet each year. At the start of a certain year, the height of the tree is 10 feet. If the height of the tree is 60 feet after 8 years, what is the value of x?

A 6.25
B 7.75
C 8
D 8.25
E 9

Increased by x feet each year.

Starting height = 10 feet.

After 8 years, total increment will be 8x.

10 + 8x = 60

8x = 50

x = 6.25.

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Re: The height of a tree increases by x feet each year. At the start of a  [#permalink]

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21 Jan 2019, 07:11
Bunuel wrote:
The height of a tree increases by x feet each year. At the start of a certain year, the height of the tree is 10 feet. If the height of the tree is 60 feet after 8 years, what is the value of x?

A 6.25
B 7.75
C 8
D 8.25
E 9

During the 8 years the height of the tree increased by 50 feet ( 60 - 10 )

So, Each year the height of the tree increases by $$\frac{50}{8} = 6.25$$, Thus Answer must be (A)
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Re: The height of a tree increases by x feet each year. At the start of a  [#permalink]

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21 Jan 2019, 08:24
Bunuel wrote:
The height of a tree increases by x feet each year. At the start of a certain year, the height of the tree is 10 feet. If the height of the tree is 60 feet after 8 years, what is the value of x?

A 6.25
B 7.75
C 8
D 8.25
E 9

total change in height = 60-10 = 50
total years = 8
50/8 = 6.25
IMO A
Re: The height of a tree increases by x feet each year. At the start of a   [#permalink] 21 Jan 2019, 08:24
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