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Grade 6 Science · Earth & Space Science

Earth's changing climate

Use this for “Carbon dioxide is 340 ppm and rises 2 ppm a year. What will it be in 40 years?”

Chart

020406080100250300350400450500550600YearsCarbon dioxide after (ppm)
Years: 40 years
Carbon dioxide after: 420 ppm
Carbon dioxide at the start: 340 ppm
Rise each year: 2 ppm/yr
Total rise: 80 ppm
This is an example. Type your own values to start a new problem.
r (ppm/yr)
×
y (years)
=
c (ppm)
s (ppm)
+
c (ppm)
=
f (ppm)

Formulas

2 × 40 = 80
Rise each year × years = total rise
340 + 80 = 420
Carbon dioxide at the start + total rise = carbon dioxide after

Assumptions

•
Carbon dioxide in the air is measured in parts per million (ppm): how many of every million bits of air.
•
Before factories it was about 280 ppm. Burning fuels adds more each year, and more carbon dioxide traps more heat.
•
The yearly rise has grown: about 1 ppm a year in 1960, about 2.5 ppm a year now.
•
The real yearly rise has grown, so a steady rise gives a low estimate for many years ahead.

Step-by-step

WE KNOW
Carbon dioxide at the start: 340 ppm Rise each year: 2 ppm/yr Years: 40 years
FIND
total rise, carbon dioxide after
Step 1 · Find total rise
2 × 40 = ?
Rise each year × years = total rise
The same rise every year, so multiply by the years.
Total rise = 80 ppm
Step 2 · Find carbon dioxide after
340 + 80 = ?
Carbon dioxide at the start + total rise = carbon dioxide after
Add the rise to the starting amount.
Carbon dioxide after = 420 ppm
Check
Put the numbers back in. Both sides should match.
2 × 40 = 80 ✓
340 + 80 = 420 ✓
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