$$ \text { Tugas PJJ } \sim 25 \text { Februari } 2025 $$ 1. Himpunan penyelesaian untuk $$ y=4 x-16 $$ dengan domain $$ A=\{-1,0,2,5\} $$ adalah... 2. Tarif taxi-protect terdiri dari tarif tetap awal dan tarif per meter. Tarif awalnya sebesar Rp5.000 sedangkan tarif per meter adalah Rp20. Jika suster Sarah berangkat dari rumah sampai rumah sakitnya tempat bekerja menggunakan taxi-protect dan diharuskan membayar Rp35.000 maka tentukan jarak dari rumahnya ke rumah sakit tempatnya bekerja! 3. Suatu fungsi didefinisikan dengan $$ f(x)=-x $$ - 10 . Nilai dari $$ f(-12) $$ adalah... 4. Tempat parkir pada suatu toko swalayan di bandung menetapkan tarif awal sebesar Rp5.000 dan diteruskan dengan tarif selanjutnya sebesar Rp2.000 per jam. Yaya dan ibunya berbelanja di toko swalayan tersebut selama 3 jam. Biaya yang harus ia keluarkan untuk membayar parkir di toko swalayan tersebut adalah...

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UpStudy AI · Accepted Answer

1. For the function $$ y = 4x - 16 $$ with domain $$ A = \{-1, 0, 2, 5\} $$, we substitute each value of $$ x $$ from the set $$ A $$:

- For $$ x = -1 $$:
     $$
     y = 4(-1) - 16 = -4 - 16 = -20
     $$
     
   - For $$ x = 0 $$:
     $$
     y = 4(0) - 16 = 0 - 16 = -16
     $$
     
   - For $$ x = 2 $$:
     $$
     y = 4(2) - 16 = 8 - 16 = -8
     $$
     
   - For $$ x = 5 $$:
     $$
     y = 4(5) - 16 = 20 - 16 = 4
     $$

Thus, the solution set is:
   $$
   \{ (-1, -20),\ (0, -16),\ (2, -8),\ (5, 4) \}
   $$

2. The taxi-protect fare consists of a fixed initial tariff of Rp5.000 and a tariff of Rp20 per meter. Let the distance be $$ d $$ meters. The total cost is given by:
   $$
   5\,000 + 20d = 35\,000
   $$
   Subtract $$ 5\,000 $$ from both sides:
   $$
   20d = 30\,000
   $$
   Divide both sides by 20:
   $$
   d = \frac{30\,000}{20} = 1\,500
   $$
   Therefore, the distance is $$ 1\,500 $$ meters.

3. The function is defined as $$ f(x) = -x - 10 $$. To find $$ f(-12) $$, substitute $$ x = -12 $$:
   $$
   f(-12) = -(-12) - 10 = 12 - 10 = 2
   $$
   So, $$ f(-12) = 2 $$.

4. The parking fee at the supermarket is a fixed initial rate of Rp5.000 plus Rp2.000 per hour. If Yaya and her mother shopped for 3 hours, the total parking cost is:
   $$
   5\,000 + 2\,000(3) = 5\,000 + 6\,000 = 11\,000
   $$
   Thus, the parking fee is Rp11.000.
1. The solution set for $$ y = 4x - 16 $$ with domain $$ A = \{-1, 0, 2, 5\} $$ is: $$ \{ (-1, -20),\ (0, -16),\ (2, -8),\ (5, 4) \} $$ 2. The distance from Sarah's home to the hospital is $$ 1\,500 $$ meters. 3. $$ f(-12) = 2 $$. 4. The parking fee is Rp11.000.

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