Question 8 (a):
Diagram 8.1 shows the pattern for a sequence consists of a few buttons.
![](http://pt3matematik.blog.onlinetuition.com.my/wp-content/uploads/sites/11/2019/09/Picture52-292x300.png)
(i) Based on the amount of buttons in Diagram 8.1, find the fourth and fifth terms of the pattern.
(ii) Hence, write the number of buttons for eighth term.
Solution:
(i)
Fourth term = 4 + 3 + 3 + 3 = 13
Fifth term = 4 + 3 + 3 + 3 + 3 = 16
(ii)
Eight term
= Fifth term + 9
= 16 + 9 = 25
Diagram 8.1 shows the pattern for a sequence consists of a few buttons.
![](http://pt3matematik.blog.onlinetuition.com.my/wp-content/uploads/sites/11/2019/09/Picture52-292x300.png)
(i) Based on the amount of buttons in Diagram 8.1, find the fourth and fifth terms of the pattern.
(ii) Hence, write the number of buttons for eighth term.
Solution:
(i)
Fourth term = 4 + 3 + 3 + 3 = 13
Fifth term = 4 + 3 + 3 + 3 + 3 = 16
(ii)
Eight term
= Fifth term + 9
= 16 + 9 = 25
Question 8 (b):
(i) Complete Table 8.1 in the answer space for the equation A = x2 + 2x + 3 by writing down the value of A, when x = 3.
Answer:
![](http://pt3matematik.blog.onlinetuition.com.my/wp-content/uploads/sites/11/2019/09/Picture69.png)
(ii) For this part of the equation, use the graph paper provided on the next page. You may use a flexible curve rule.
By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the graph of A = x2 + 2x + 3 for 0 ≤ x ≤ 5.
Solution:
(i)
x = 3
A = 32 + 2(3) + 3
= 9 + 6 + 3
= 18
(ii)
![](http://pt3matematik.blog.onlinetuition.com.my/wp-content/uploads/sites/11/2019/09/Picture68-1.png)
(i) Complete Table 8.1 in the answer space for the equation A = x2 + 2x + 3 by writing down the value of A, when x = 3.
Answer:
![](http://pt3matematik.blog.onlinetuition.com.my/wp-content/uploads/sites/11/2019/09/Picture69.png)
(ii) For this part of the equation, use the graph paper provided on the next page. You may use a flexible curve rule.
By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the graph of A = x2 + 2x + 3 for 0 ≤ x ≤ 5.
Solution:
(i)
x = 3
A = 32 + 2(3) + 3
= 9 + 6 + 3
= 18
(ii)
![](http://pt3matematik.blog.onlinetuition.com.my/wp-content/uploads/sites/11/2019/09/Picture68-1.png)
Question 8 (c):
Diagram 8.2 shows the offer of services by a telecommunication company.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2019/09/Picture77.png)
(i) In a particular month, the total payment is H. If x of SMS were sent and y minutes of phone calls were made, express H in terms of x and y.
(ii) In August, Aliah has to pay RM63. If she sent 25 SMS in that month, how many minutes of phone calls made by Aliah?
Solution:
(i)
H = (0.20 × x) + (0.15 × y)
H = 0.2x + 0.15y
(ii)
Diagram 8.2 shows the offer of services by a telecommunication company.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2019/09/Picture77.png)
(i) In a particular month, the total payment is H. If x of SMS were sent and y minutes of phone calls were made, express H in terms of x and y.
(ii) In August, Aliah has to pay RM63. If she sent 25 SMS in that month, how many minutes of phone calls made by Aliah?
Solution:
(i)
H = (0.20 × x) + (0.15 × y)
H = 0.2x + 0.15y
(ii)