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Bunuel
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
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Bunuel
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

At the end of the first year; 31st December (1)= 10+x
year 2 = 10+2x
.
.
.
8th year = 10+8x=60
x= 6.25
Ans. A
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The height increases by a constant length x feet each year, so this is a linear growth problem. The tree height has increased by 50 feet in 8 years with growth being same and constant across years which is x . So x = 50/8 = 6.25
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Initial Height:10 and Final Height:60

=> Increase: 60 - 10 = 50

=>Number of years: 8

=> Per year increase is x: \(\frac{50}{8}\) = 6.25

Answer A
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Hello from the GMAT Club BumpBot!

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