A small company’s carbon dioxide (CO₂) emissions since 2000 can be modelled using the parametric equations
\[12x = t,\ y = 8t – 4.9t^{2} + 10,\ t \geq 0\]
Where x is the number of years since 2000 and y the yearly CO₂ emissions, in tonnes.
Due to an afforestation program, the company’s emissions can go negative, as the trees planted absorb CO₂ from the atmosphere.
a) Find the year in which the company’s CO₂ emissions go negative.
[4 marks]
b) Find the greatest amount of CO₂ emissions from that company in one year
[5 marks]
