QuestionJune 17, 2025

Make an order of magnitude estimate of the following quantity. Explain the assumptions you use in your estimates. Total annual gasoline usage in the United States An estimate of the amount of gasoline used is the approximately square cars in the United States square the approximate average square miles each is driven per year square the average mileage approximately square miles per gallon. This results in an order of magnitude estimate of square gallons of gas consumed in the United States per year. (Use scientific notation. Use the multiplication symbol in the math palette as needed.)

Make an order of magnitude estimate of the following quantity. Explain the assumptions you use in your estimates. Total annual gasoline usage in the United States An estimate of the amount of gasoline used is the approximately square cars in the United States square the approximate average square miles each is driven per year square the average mileage approximately square miles per gallon. This results in an order of magnitude estimate of square gallons of gas consumed in the United States per year. (Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Make an order of magnitude estimate of the following quantity. Explain the assumptions you use in your estimates. Total annual gasoline usage in the United States An estimate of the amount of gasoline used is the approximately square cars in the United States square the approximate average square miles each is driven per year square the average mileage approximately square miles per gallon. This results in an order of magnitude estimate of square gallons of gas consumed in the United States per year. (Use scientific notation. Use the multiplication symbol in the math palette as needed.)

Solution
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Answer

1.5 \times 10^{11} gallons Explanation 1. Estimate the Number of Cars Assume there are approximately 3 \times 10^8 cars in the United States. 2. Estimate Average Miles Driven per Year Assume each car is driven about 1 \times 10^4 miles per year. 3. Estimate Average Mileage Assume the average mileage is about 2 \times 10^1 miles per gallon. 4. Calculate Total Gasoline Usage Use the formula: \text{Total Gasoline} = \frac{\text{Number of Cars} \times \text{Miles per Year}}{\text{Miles per Gallon}}. Substitute values: \frac{(3 \times 10^8) \times (1 \times 10^4)}{2 \times 10^1} = 1.5 \times 10^{11} gallons.

Explanation

1. Estimate the Number of Cars<br /> Assume there are approximately $3 \times 10^8$ cars in the United States.<br /><br />2. Estimate Average Miles Driven per Year<br /> Assume each car is driven about $1 \times 10^4$ miles per year.<br /><br />3. Estimate Average Mileage<br /> Assume the average mileage is about $2 \times 10^1$ miles per gallon.<br /><br />4. Calculate Total Gasoline Usage<br /> Use the formula: $\text{Total Gasoline} = \frac{\text{Number of Cars} \times \text{Miles per Year}}{\text{Miles per Gallon}}$. <br /> Substitute values: $\frac{(3 \times 10^8) \times (1 \times 10^4)}{2 \times 10^1} = 1.5 \times 10^{11}$ gallons.
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