Home » Maths for Planet Earth » Finding the Total Carbon Dioxide Emissions from 1850

# Finding the Total Carbon Dioxide Emissions from 1850

The graph below shows how the rate of CO2 emissions varies from 1800 to 2017.

This curve can be approximated as $$E = 1.5e^{0.02t}$$ where E is the rate of CO₂ emissions per year (GtCO₂ year⁻¹) and t is the number of years since 1800.

a) Using the above equation, calculate the total mass of CO₂ emitted between the years 1800 and 2017. Give your answer to 3.s.f.

[3 marks]

b) By comparing the exponential model with the best fit line on the graph shown at $$t = 150$$, evaluate whether your answer to (a) is an overestimate of the true emissions or an underestimate.

[1 mark]

## More Maths for Planet Earth

GCSE
##### Graphing Rising Temperatures
The temperature-time graph from https://globalwarmingindex.org/ shows how the Earth’s global average monthly temperatures have varied from the year 1880. Throughout this question, monthly global
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
##### Rainforest Reforestation
One way of reducing carbon dioxide in the atmosphere and slowing global warming is to plant trees which absorb carbon dioxide from the atmosphere.
GCSE
##### A Council Questionnaire
Sean works for a town council. He wants to find out how often people use recyling bins when throwing away paper. He is going