Page 12 - PBD Plus Matematik T5 (EG)

P. 12

Matematik Tingkatan 5 Bab 1 Ubahan
4. Tulis persamaan bagi setiap yang berikut. TP 4
Write an equation for each of the following.
Contoh
Yuran tuisyen, RMx yang dikenakan berubah secara langsung dengan x ∝ y
jumlah masa mengajar, y jam. Diberi bahawa seorang guru tuisyen telah x = ky
menerima bayaran sebanyak RM800 selepas mengajar 16 jam pada suatu 800 = k(16)
bulan. Tulis persamaan yang menghubungkan x dan y. 800
Tuition fee, RMx charged varies directly with total time of teaching, y hours. Given that a tuition k = 16
teacher has received a payment of RM800 after teaching for a total of 16 hours in a month. Write
an equation that relates x and y. k = 50
x = 50y
Penerbitan Pelangi Sdn. Bhd.

(a) Upah, RMj yang diperoleh penghantar barang adalah berkadar j ∝ m
langsung dengan jumlah penghantaran, m kali. Diberi bahawa j = km
upah yang diterima oleh seorang penghantar barang ialah RM120 120 = k(24)
selepas menyiapkan 24 kali penghantaran. Tulis persamaan yang 120
menghubungkan j dan m. k = 24
Wage, RMj received by delivery boy is directly proportional to the number of trips, m times. k = 5
Given that the wage received by a delivery boy is RM120 after he has completed 24 trips of
delivery. Write an equation that relates j and m. j = 5m

5. Selesaikan. TP 3
Solve.
Contoh
(a) Diberi p = 0.9 apabila q = 0.3. Hitung nilai p
Diberi j = 2.4 apabila l = 0.4. Hitung nilai j apabila apabila q = 12 jika
l = 8 jika Given that p = 0.9 when q = 0.3. Calculate the value of p when
Given that j = 2.4 when l = 0.4. Calculate the value of j when q = 12 if
l = 8 if (i) p ∝ q
(i) j ∝ l (ii) p ∝ q
2
(ii) j ∝ l
3
(i) p ∝ q (ii) p ∝ q
2
(i) j ∝ l (ii) j ∝ l p = kq p = kq
3
2
3
j = kl j = kl 0.9 = k(0.3) 0.9 = k(0.3) 2
2.4 = k(0.4) 2.4 = k(0.4) 3 k = 3 k = 10
2.4 2.4
k = k =
0.4 (0.4) 3 p = 3q p = 10q
2
k = 6 k = 37.5 p = 3(12) p = 10(12) 2
p = 36 p = 1 440
j = 6l j = 37.5l
3
j = 6(8) j = 37.5(8) 3
j = 48 j = 19 200

Cuba jawab Praktis SPM 1, K1: S2

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