87.4k views
4 votes
A small country emits 103,000 kilotons of carbon dioxide per year. In a recent global agreement, the

country agreed to cut its carbon emissions by 1% per year for the next 10 years. In the first year of the
agreement, the country will keep its emissions at 103,000 kilotons and the emissions will decrease 1% in
each successive year. How many total kilotons of carbon dioxide would the country emit over the course
of the 10 year period, to the nearest whole number?

User JayGatsby
by
7.8k points

1 Answer

6 votes

The country will emit a total of 1,035,096 kilotons of carbon dioxide over the 10-year period.

To calculate the total kilotons of carbon dioxide emitted by the country over the 10-year period, we need to find the emissions for each year. In the first year, the emissions will remain at 103,000 kilotons. In the second year, the emissions will decrease by 1%, which is 103,000 * 0.01 = 1,030 kilotons. In the third year, the emissions will decrease by 1% again, which is 1,030 * 0.01 = 10.3 kilotons. We continue this pattern for each successive year, decreasing the emissions by 1% of the previous year's emissions. By adding up the emissions for each year, we can find the total kilotons of carbon dioxide emitted over the 10-year period.

Year 1: 103,000 kilotons

Year 2: 103,000 - 1,030 = 101,970 kilotons

Year 3: 101,970 - 10.3 = 101,959.7 kilotons

...

Year 10: (previous year's emissions) - (previous year's emissions * 0.01)

Finally, we add up the emissions for each year to find the total kilotons of carbon dioxide emitted over the 10-year period.

The probable question may be:

A small country emits 103,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 1% per year for the next 10 years. In the first year of the agreement, the country will keep its emissions at 103,000 kilotons and the emissions will decrease 1% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 10 year period, to the nearest whole number?

User Toby Joiner
by
8.8k points