E-Modul Berbantuan Pemrograman Visual untuk Pembelajaran Menyenangkan

Ayo Mencoba

Kamu sudah mengenal PLSV dan mencoba untuk menyelesaikannya.
Sekarang saatnya membuktikan seberapa jauh pemahamanmu!
Siap menerima tantangan? Mari mulai!


Petunjuk: 

  1. Cermati dan pahami permasalahan atau soal yang diberikan. 
  2. Pecahkan permasalahan tersebut dengan mengisi kolom kosong sesuai dengan langkah-langkah yang diminta dalam e-modul. 
  3. Klik Check untuk memeriksa jawaban.
  4. Selesaikan seluruh permasalahan atau soal yang ada.

Nomor 1

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Permasalahan/Soal:

Dua kilogram apel dan satu kilogram jeruk bersama-sama berharga Rp35.000. Jika harga jeruk Rp15.000 per kg, berapakah harga apel per kg? 

(gunakan titik untuk memisahkan angka ribuan)

 

Jawaban:

Ayo Mengidentifikasi Besaran Penting!

Besaran penting:

  • Berat apel 
  • Berat jeruk 
  • Harga jeruk per kg
  • Harga apel per kg

Ayo Menjelaskan Hubungan Antar Variabel!

Hubungan antar variabel: Harga apel per kg dan jeruk per kg mempengaruhi harga total.

 

Ayo Menyederhanakan/Menambah Informasi!

Informasi penting:

  • @@2@@ kg apel 
  • @@1@@ kg jeruk 
  • Harga jeruk Rp15.000 per kg
  • Harga 2 kg apel dan 1 kg jeruk Rp35.000. 


Ayo Mematematisasi!

Misal \(x\) = harga apel per kg

Maka:

 @@2@@\(x\) + 15.000 = 35.000


Ayo Bekerja secara Matematis!

@@2@@\(x\) + 15.000 - 15.000 = 35.000 - 15.000 

@@2@@\(x\) = @@20.000@@    

\(x\) = @@10.000@@           


Ayo Menafsirkan Hasil!

Artinya, harga apel yaitu Rp@@10.000@@ per kg 

 

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Nomor 2

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Permasalahan/Soal:

Rina adalah seorang siswi SMP. Ia menabung di celengan setiap hari. Setelah 10 hari, uangnya berjumlah Rp50.000. Berapa jumlah uang yang ditabung Rina setiap hari? Periksa kembali jawaban tersebut, apakah jumlah tersebut masuk akal untuk siswi SMP? 

(gunakan titik untuk memisahkan angka ribuan)

 

Jawaban:

Ayo Membangun Asumsi!

Asumsikan bahwa Rina menabung setiap hari dengan jumlah yang sama. 

 

Ayo Menyederhanakan/Menambah Informasi!

Informasi penting: 

  • Menabung @@10@@ hari
  • Total Tabungan Rp@@50.000@@  

 

Ayo Mematematisasi!

Misal \(a\) = Tabungan per hari

Maka: 

@@10@@\(a\) = @@50.000@@


Ayo Bekerja secara Matematis!

\(a\) = @@5.000@@


Ayo Menafsirkan Hasil!

Artinya, Rina menabung Rp@@5.000@@ per hari. 


Ayo Memvalidasi Hasil!

Memeriksa kembali: @@10@@ \(\times\) @@5.000@@ = @@50.000@@


Ayo Mengkomunikasikan Hasil!

Artinya, menabung Rp@@5.000@@ per hari masuk akal untuk siswi SMP. 

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Nomor 3

Keren. Kamu sudah menyelesaikan soal nomor 1 dan 2. Jangan menyerah ya, tuntaskan juga soal ini, karena skornya sangat besar🤩

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Permasalahan/Soal: 

Seorang wisatawan bersama keluarganya ingin menonton film di sebuah bioskop. Harga tiket di loket adalah Rp45.000 per orang, sedangkan pembelian secara online adalah Rp50.000 per orang di tambah biaya layanan tetap sebesar Rp5.000 untuk setiap transaksi. 

Sebelum membeli tiket, wisatawan tersebut juga melihat harga makanan ringan di area bioskop yang berkisar antara Rp20.000 – Rp30.000 per bungkus. Biaya makanan ringan ini tidak termasuk dalam harga tiket film. 

  1. Tuliskan besaran penting serta informasi relevan dalam permasalahan tersebut yang dapat digunakan untuk menentukan jumlah pengunjung. 
  2. Tentukan berapa jumlah pengunjung sedemikian sehingga biaya pembelian di loket sama dengan biaya pembelian secara online. 
  3. Jelaskan cara pembelian mana yang lebih menguntungkan jika pengunjung lebih dari jumlah tersebut. Tuliskan juga asumsi banyak pengunjung yang lebih dari jumlah tersebut. 

(gunakan titik untuk memisahkan angka ribuan) 

 

Jawaban:

a. Ayo Mengidentifikasi Besaran Penting!

Besaran penting:

  • Jumlah pengunjung 
  • Harga tiket di loket 
  • Harga tiket online 
  • Biaya layanan 

 

Ayo Menyederhanakan/Menambah Informasi!

Informasi relevan: 

  • Harga tiket di loket Rp@@45.000@@ per orang. 
  • Harga tiket online Rp@@50.000@@ per orang.
  • Biaya layanan tetap sebesar Rp@@5.000@@ untuk pembelian online. 

 

b. Ayo Mematematisasi!

Misal  \(y\) = jumlah pengunjung

Biaya loket: @@45.000@@\(y\)

Biaya online: @@50.000@@\(y\) \(+\) @@5.000@@ 

Maka: 

Biaya loket = Biaya online 

@@45.000@@\(y\) = @@50.000@@\(y\) \(+\) @@5.000@@ 

Ayo Bekerja secara Matematis!

0 = @@5.000@@\(y\) + @@5.000@@

@@-5.000@@ = @@5.000@@\(y\)

@@-1@@ = \(y\)

Ayo Menafsirkan Hasil!

Hasil \(y\) = @@-1@@ tidak masuk akal karena jumlah orang tidak mungkin negatif. Artinya tidak ada kondisi biaya pembelian di loket sama dengan biaya pembelian secara online untuk jumlah pengunjung tertentu. 

 

c. Ayo Membangun Asumsi!

Asumsikan pengunjung yaitu 2 orang, maka:

Ayo Memvalidasi dan Mengkomunikasikan Hasil!

Biaya loket: @@45.000@@ \(\times\) 2 = @@90.000@@

Biaya online: @@50.000@@ \(\times\) 2 \(+\) @@5.000@@ = @@105.000@@

(pembelian di loket lebih murah). 

 

Ayo Membangun Asumsi!

Asumsikan pengunjung yaitu 5 orang, maka:

Ayo Memvalidasi dan Mengkomunikasikan Hasil!

Biaya loket: @@45.000@@ \(\times\) 5 = @@225.000@@

Biaya online: @@50.000@@ \(\times\) 5 \(+\) @@5.000@@ = @@255.000@@ 

(pembelian di loket lebih murah).

Artinya, pembelian tiket secara langsung di loket lebih menguntungkan, berapa pun jumlah pengunjungnya. 

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