Home » Maths for Planet Earth » A Carbon Negative Company

A Carbon Negative Company


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]

Start exploring

Latest from blog

More Maths for Planet Earth

A Level
2 weather-monitoring satellites orbit the earth. One is in a circular orbit C₁, the other orbits in an extreme ellipse, C₂ so that it can
A Level
The rate of CO2 emissions for the UK was measured every 5 years, from 1990 to 2015. The results are given in the table
The table shows information about sea level rise due to human-induced climate change. (mm = millimetres). Sea level rise in 2006 (mm) Sea level
As the atmosphere warms, the air holds more water vapour, and this could lead to more intense rainfall events, resulting in an increased flood