2026 PCSS P2 Q10

The Singapore Government aims to increase the use of Electric Vehicles (EVs) to reduce carbon emissions. One way of encouraging EV ownership is by installing more public charging stations across the island.

The table below shows the approximate number of public EV charging stations at the end of each year.

1. On the grid provided, plot the points given in the table and join them to form a smooth curve.[2]
2. Four students suggest different mathematical models for the graph.

   Student	Model
   A	\(y=ax+b\)
   B	\(y=ax^2+b\)
   C	\(y=a\sqrt{x}+b\)
   D	\(y=ab^x\)

   State which student’s model best represents the graph.
   Give one reason for your choice.[2]
3. In 2030, the Land Transport Authority announces a target of 13 000 charging stations. Based on your model, comment on whether this target is likely to be achieved. You are required to show all mathematical calculations clearly and state any assumptions you have made.[6]