Question

year millions of tons of carbon
1900 500
1925 1000
1950 1500
1975 5000
2000 7000
what is the average rate of change in global carbon emissions per year from fossil fuel burning from
a. 1900 - 1950 million tons of carbon per year
b. 1950 - 2000 million tons of carbon per year
the greater average rate of change for fossil fuel burning occurred during which of the two given time periods? type in either 1900 - 1950 or 1950 - 2000

Explanation:

Step1: Calculate change for 1900 - 1950

The change in carbon emissions from 1900 to 1950 is $1500 - 500=1000$ million tons. The time - span is $1950 - 1900 = 50$ years. The average rate of change is $\frac{1500 - 500}{1950 - 1900}=\frac{1000}{50}=20$ million tons per year.

Step2: Calculate change for 1950 - 2000

The change in carbon emissions from 1950 to 2000 is $7000 - 1500 = 5500$ million tons. The time - span is $2000 - 1950=50$ years. The average rate of change is $\frac{7000 - 1500}{2000 - 1950}=\frac{5500}{50}=110$ million tons per year.

Step3: Compare the rates

Since $110>20$, the greater average rate of change occurred during 1950 - 2000.

Answer:

a. 20
b. 110
1950 - 2000