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]

## More Maths for Planet Earth

A Level
##### A Regrowing Reef
a) Use the substitution (u = 4 – sqrt{s}) to show that [int_{}^{}frac{text{dh}}{4 – sqrt{s}} = – 8lnleft| 4 – sqrt{s} right| – 2sqrt{s}
GCSE
##### An Offshore Wind Farm
Below is a diagram of 3 offshore wind turbines, A, B and C, in a wind farm, as seen from above. Given that the
GCSE
##### There Is No Planet B
Here is a pie chart taken from Mike Berners-Lee’s book There is no Planet B.  a) Calculate angle x. (shown on graph in the
A Level
##### City Emission Levels
The emissions of a city from 2000 to 2012 are modelled by the equation (pleft( t right) = frac{1}{10}lnleft( t + 1 right) –