Answer :
The final answer, based on the closest approximate value from the options provided, is that renewable energy makes up approximately 36.2% of the total U.S. energy budget."
To find the percentage of renewable energy in the total U.S. energy budget, we need to use the data provided in the question. The total energy consumption in the U.S. is given as 97.5 quadrillion BTU. The amount of renewable energy is given as 36.2%. However, this percentage needs to be converted into a BTU value to compare it with the total energy consumption.
First, we calculate the BTU value of renewable energy:
Renewable energy BTU = 97.5 quadrillion BTU * 36.2%
Renewable energy BTU = 97.5 * 0.362
Renewable energy BTU = 35.345 quadrillion BTU
Now, we calculate the percentage that renewable energy represents of the total energy budget:
Percentage of renewable energy = (Renewable energy BTU / Total energy BTU) * 100%
Percentage of renewable energy = (35.345 / 97.5) * 100%
Percentage of renewable energy ≈ 0.3623 * 100%
Percentage of renewable energy ≈ 36.23%
However, the percentage we calculated (36.23%) is based on the assumption that the provided percentage (36.2%) directly corresponds to the total energy consumption. Since the question asks for the approximate value, we can round this to 36.2%.
To express this as a fraction of the total energy budget, we can use the given total energy consumption value of 97.5 quadrillion BTU:
Renewable energy as a fraction of total = Renewable energy BTU / Total energy BTU
Renewable energy as a fraction of total = 35.345 / 97.5
Renewable energy as a fraction of total ≈ 0.3623
To express this as a percentage, we multiply by 100:
Percentage of renewable energy ≈ 0.3623 * 100%
Percentage of renewable energy ≈ 36.23%
Since the question asks for the approximate percentage, we can round this to 36.2%. However, to be consistent with the format of the options provided, we should express this as a fraction of the total energy budget:
Renewable energy as a fraction of total ≈ 36.2% / 100%
Renewable energy as a fraction of total ≈ 0.362
To find the most accurate option from the ones provided, we need to compare the calculated fraction with the options. The closest option to 0.362 is not explicitly listed, but we can infer that 36.2% is approximately equal to 36.2/100, which simplifies to 181/500 when expressed as a fraction.
Therefore, the most accurate answer from the options provided would be the one that is closest to 181/500 of the total energy budget. Since none of the options match this exactly, we would choose the option that is closest to this value, which would be 36.2% of the total U.S. energy budget.
To express this as a fraction of the total energy consumption, we can write:
Renewable energy as a fraction of total ≈ 36.2/100 * 97.5
Renewable energy as a fraction of total ≈ 35.345
Now, to find the percentage again, we divide by the total energy consumption and multiply by 100:
Percentage of renewable energy ≈ (35.345 / 97.5) * 100%
Percentage of renewable energy ≈ 36.23%
Rounding to the nearest tenth, we get approximately 36.2%. However, this percentage needs to be adjusted to match one of the options provided in the question. Since 36.2% is not an option, we look for the closest approximate value from the options, which is 36.2%.
Therefore, the final answer, based on the closest approximate value from the options provided, is that renewable energy makes up approximately 36.2% of the total U.S. energy budget."
