Home » Maths for Planet Earth » Graphing Global Sea Level Rise

# Graphing Global Sea Level Rise

The graph shows satellite measurements of global sea level rise since 2000 plotted relative to 1993. (sea level rise measured in mm = millimetres)

a) Draw a line of best fit through the data and write an equation for your line in the form y = mx + c, to show how sea level is rising through time.
[3 marks]

b) What are the units of your value for mx, and c?
[1 mark]

c) Using your equation, work out how much higher sea level will be in 50 and 100 years’ time.
[2 marks]

Some scientists think that sea level isn’t rising with a constant rate, but is in fact accelerating.

Fitting a quadratic curve to this data gives the equation, y = 0.05x 2 + 2.6x  + 21.3.

d) What are the units of the value for 0.05x2?
[1 mark]

e) Use this equation to calculate how high sea level will be in 50 and 100 years’ time.
[2 marks]

f) What is the difference between your answers in (c) and (e)?
[1 mark]

## More Maths for Planet Earth

GCSE
##### A Cocoa Catastrophe
Chocolate is made from a crop called cocoa, which grows on a tree. Cocoa trees are vulnerable to extreme weather events such as floods
A Level
##### A Ferocious Forest Fire
During a particularly hot summer, the area of a small forest was reduced by fire. The area, Akm2, of the surviving forest is modelled
A Level
##### 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}
A Level
##### UK Carbon Dioxide Emissions
The rate of CO2 emissions for the UK was measured every 5 years, from 1990 to 2015. The results are given in the table