Question 7:
Table 4 shows information about Helen’s insurance policy plan in 2022.
(a) In 2022, Helen was admitted to hospital and the cost of her treatment was RM1 050. Would the insurance company bear the cost of the treatment? Explain. [1 mark]
(b) Helen underwent surgery in a hospital in 2022 and the cost of the surgery was RM29 900.
Calculate the cost borne by Helen herself. [3 marks]
Solution:
(a)
Deductible is an amount that must be borne by the policyholder before they can make a claim from the insurance company.
Since the deductible value is higher than the cost of treatment, therefore, the insurance company would not bear the cost of the treatment.
(b)
$$ \begin{aligned} &\text { Medical cost after deductible }\\ &\begin{aligned} & =\text { RM29 } 900-\text { RM1 } 500 \\ & =\text { RM28 } 400 \end{aligned} \end{aligned} $$
$$ \begin{aligned} &\text { The cost borne by Helen }\\ &\begin{aligned} & =\frac{15}{100} \times \text { RM28 } 400+\text { RM1 } 500 \\ & =\text { RM5 } 760 \end{aligned} \end{aligned} $$
Table 4 shows information about Helen’s insurance policy plan in 2022.
(a) In 2022, Helen was admitted to hospital and the cost of her treatment was RM1 050. Would the insurance company bear the cost of the treatment? Explain. [1 mark]
(b) Helen underwent surgery in a hospital in 2022 and the cost of the surgery was RM29 900.
Calculate the cost borne by Helen herself. [3 marks]
Solution:
(a)
Deductible is an amount that must be borne by the policyholder before they can make a claim from the insurance company.
Since the deductible value is higher than the cost of treatment, therefore, the insurance company would not bear the cost of the treatment.
(b)
$$ \begin{aligned} &\text { Medical cost after deductible }\\ &\begin{aligned} & =\text { RM29 } 900-\text { RM1 } 500 \\ & =\text { RM28 } 400 \end{aligned} \end{aligned} $$
$$ \begin{aligned} &\text { The cost borne by Helen }\\ &\begin{aligned} & =\frac{15}{100} \times \text { RM28 } 400+\text { RM1 } 500 \\ & =\text { RM5 } 760 \end{aligned} \end{aligned} $$
Question 8:
Julia sells food online. On Monday, she sells x curry puffs and y cup cakes. Table 5 shows information about her sales on Monday.
(a) Write a linear inequality that represents condition (iii). [1 mark]
(b) Hence, on the diagram in the answer space, complete the graph to represent the linear inequalities that relate to Julia’s sales and x ⩾ 0, y ⩾ 0. Shade the region that satisfies all of these linear inequalities. [3 marks]
Solution:
(a) Minimum number of cup cakes sold is 10, y ⩾ 10.
(b)
Julia sells food online. On Monday, she sells x curry puffs and y cup cakes. Table 5 shows information about her sales on Monday.
(a) Write a linear inequality that represents condition (iii). [1 mark]
(b) Hence, on the diagram in the answer space, complete the graph to represent the linear inequalities that relate to Julia’s sales and x ⩾ 0, y ⩾ 0. Shade the region that satisfies all of these linear inequalities. [3 marks]
Solution:
(a) Minimum number of cup cakes sold is 10, y ⩾ 10.
(b)