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Ekstrapolasi
Apa itu Ekstrapolasi ?
Ekstrapolasi merupakan suatu metode untuk memeperkirakan suatu nilai variabel yang
melampaui nilai interval (atau 2 titik yang segaris) berdasarkan hubungan antara
variabelnya. Perluasan data di luar data yang tersedia, tetapi tetap mengikuti pola
kecenderungan data yang tersedia. Ekstrapolasi adalah memperkirakan nilai fungsi di
luar titik data yang tersedia, tetapi tidak mengubah jumlah variabel. Ekstrapolasi
merupakan metode untuk menentukan atau memperkirakan suatu nilai yang berada di
luar interval atau dua titik yang segaris.
• Infographic Style
Formula dari Ekstrapolasi adalah sebagai berikut
𝑦−𝑦1
𝑦2−𝑦1
=
𝑥−𝑥1
𝑥2−𝑥1
Berikut ini contoh soal yang berkaitan dengan
ekstrapolasi:
Sebuah mobil dapat menempuh jarak 10
kilometer dengan 1 liter bensin, dan 20 kilometer
dengan 2 liter bensin. berapakah jarak yang
ditempuh mobil tersebut jika mobil tersebut
menggunakan 4 liter bensin ?
Berikut ini pembahasannya
Misalkan jarak (km) adalah x dan bensin adalah y maka,
• 10 kilometer =x1
• 20 kilometer=x2
• 1 liter bensin =y1
• 2 liter bensin = y2
• 4 liter bensin = y
yang dicari adalah jarak pada saat
mobil menggunakan 4 liter bensin
dalam hal ini misalkan x
sehingga
𝑦−𝑦1
𝑦2−𝑦1
=
𝑥−𝑥1
𝑥2−𝑥1
4 𝑙𝑖𝑡𝑒𝑟−1 𝑙𝑖𝑡𝑒𝑟
2 𝑙𝑖𝑡𝑒𝑟−1 𝑙𝑖𝑡𝑒𝑟
=
𝑥−10 𝑘𝑚
20−10 𝑘𝑚
3 𝑙𝑖𝑡𝑒𝑟
1 𝑙𝑖𝑡𝑒𝑟
=
𝑥−10 𝑘𝑚
10 𝑘𝑚
30 km = (x -10 km)
x = 40 km
D
D
D
D
D
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Ekstrapolasi

  • 2. Apa itu Ekstrapolasi ? Ekstrapolasi merupakan suatu metode untuk memeperkirakan suatu nilai variabel yang melampaui nilai interval (atau 2 titik yang segaris) berdasarkan hubungan antara variabelnya. Perluasan data di luar data yang tersedia, tetapi tetap mengikuti pola kecenderungan data yang tersedia. Ekstrapolasi adalah memperkirakan nilai fungsi di luar titik data yang tersedia, tetapi tidak mengubah jumlah variabel. Ekstrapolasi merupakan metode untuk menentukan atau memperkirakan suatu nilai yang berada di luar interval atau dua titik yang segaris.
  • 3.
  • 4. • Infographic Style Formula dari Ekstrapolasi adalah sebagai berikut 𝑦−𝑦1 𝑦2−𝑦1 = 𝑥−𝑥1 𝑥2−𝑥1 Berikut ini contoh soal yang berkaitan dengan ekstrapolasi: Sebuah mobil dapat menempuh jarak 10 kilometer dengan 1 liter bensin, dan 20 kilometer dengan 2 liter bensin. berapakah jarak yang ditempuh mobil tersebut jika mobil tersebut menggunakan 4 liter bensin ?
  • 5. Berikut ini pembahasannya Misalkan jarak (km) adalah x dan bensin adalah y maka, • 10 kilometer =x1 • 20 kilometer=x2 • 1 liter bensin =y1 • 2 liter bensin = y2 • 4 liter bensin = y yang dicari adalah jarak pada saat mobil menggunakan 4 liter bensin dalam hal ini misalkan x sehingga 𝑦−𝑦1 𝑦2−𝑦1 = 𝑥−𝑥1 𝑥2−𝑥1 4 𝑙𝑖𝑡𝑒𝑟−1 𝑙𝑖𝑡𝑒𝑟 2 𝑙𝑖𝑡𝑒𝑟−1 𝑙𝑖𝑡𝑒𝑟 = 𝑥−10 𝑘𝑚 20−10 𝑘𝑚 3 𝑙𝑖𝑡𝑒𝑟 1 𝑙𝑖𝑡𝑒𝑟 = 𝑥−10 𝑘𝑚 10 𝑘𝑚 30 km = (x -10 km) x = 40 km
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