Mr. Jones is a geographical scientist. He researches the rise in the carbon dioxide level due to increasing pollution. In 2003, the average carbon dioxide level was about 223 billion metric tons, and in 2008, it was about 1,350 billion metric tons.

Between 2003 and 2008, Mr. Jones found the rise to be approximately ___ (A: 4.25 B: 3.25 C: 2.25) x 10 ____ (A: 13 B: 12 C: 11) _______ (A: metric tons B: billion metric tons C: Tons) per year

1 answer

To calculate the rise in carbon dioxide levels between 2003 and 2008, we first find the difference between the two values:

  1. Carbon dioxide level in 2003: 223 billion metric tons
  2. Carbon dioxide level in 2008: 1350 billion metric tons

Now, we subtract the 2003 level from the 2008 level:

\[ 1350 - 223 = 1127 \text{ billion metric tons} \]

Next, we need to calculate the rise per year over the 5-year period (from 2003 to 2008):

\[ \text{Rise per year} = \frac{1127 \text{ billion metric tons}}{5 \text{ years}} = 225.4 \text{ billion metric tons per year} \]

Now, we want to express this in scientific notation.

225.4 billion metric tons can be written as:

\[ 2.254 \times 10^2 \text{ billion metric tons} \]

If we convert this to match the options given in the problem and express it in terms of the available choices:

  • We can represent 225.4 billion metric tons as \(2.25 \times 10^2 \text{ billion metric tons}\).

Since the problem requests values in billions metric tons, we can deduce:

\[ \approx 2.25 \text{ billion metric tons (per year)} \]

Based on the multiple-choice answers:

For the first blank (the coefficient): The closest value is C: 2.25.

For the second blank (the exponent): To convert billion to the appropriate form, we recognize that \( 2.25 \times 10^2 \text{ billion metric tons} = 2.25 \times 10^{11} \text{ metric tons} \) (since \(1 , \text{billion} = 10^9\), we are adding that).

Thus the final part is:

  • The units: The final answer must be in B: billion metric tons.

Therefore, the complete answer is:

Between 2003 and 2008, Mr. Jones found the rise to be approximately 2.25 (C) x 10 (B: 11) billion metric tons.