Fresh
green apples, cool mountain air, stunning natural beauty, and a whole lot of
fun, are among the many appealing features associated with the pleasant town of Batu in East Java. Located about 15 Km west
of the city of Malang
or
approximately 100 Km from Surabaya, capital
of East Java, the town of Batu was dubbed by the Dutch during the colonial era
as Klein
Switzerland, or little Switzerland in Java for its sheer beauty.
Nowadays, adding to the fascinating natural features of Batu, a number of
exciting theme parks have been added, making it truly a vacation city for the
entire family.
My Question :
A farmer
plants apple trees in a square pattern. In order to protect the apple trees
against the wind he plantsconifer trees all around the orchad.
Here you can
see the diagram of this situation where you can see the pattern of apple trees
and conifer trees for any number (n)
of rows of apples trees.
Answer the
question below :
1. Complete the table :
n
|
Number of apple trees
|
Number of conifer trees
|
1
|
1
|
8
|
2
|
4
|
|
3
|
||
4
|
||
5
|
2. There are two formulas you can use to
calculate the number of apple trees and the number of conifer trees for the
pattern described above. There is a value of n for which the number of apple trees equals the number of conifer
trees. Find the value of n and show your method of calculating this.
3. Suppose the farmer wants to make a
much larger orchard with many rows of trees. As the farmer makes the orchard
bigger, which will increase more quickly: the number of apple trees or the
number of conifer trees? Explain how you found your answer.
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