Question
If the Atlantic Ocean is widening at a rate of 3 cm per year, how far (in miles) will it spread in a million years? (1 point) Responses 30 miles 30 miles 1.9 miles 1.9 miles 18.6 miles 18.6 miles 186.4 miles
Answers
GPT-4o mini
To calculate how far the Atlantic Ocean will widen in a million years, we can use the following steps:
1. The rate of widening is 3 cm per year.
2. A million years is \(1,000,000\) years.
3. The total widening in centimeters over a million years is:
\[
3 \, \text{cm/year} \times 1,000,000 \, \text{years} = 3,000,000 \, \text{cm}
\]
4. Now, we need to convert centimeters to miles. There are 100,000 cm in a kilometer and about 0.621371 miles in a kilometer. First, we convert centimeters to kilometers:
\[
3,000,000 \, \text{cm} \div 100,000 \, \text{cm/km} = 30 \, \text{km}
\]
5. Next, we convert kilometers to miles:
\[
30 \, \text{km} \times 0.621371 \, \text{miles/km} \approx 18.64 \, \text{miles}
\]
So, the Atlantic Ocean will spread approximately **18.6 miles** in a million years. Thus, the correct response is **18.6 miles**.
1. The rate of widening is 3 cm per year.
2. A million years is \(1,000,000\) years.
3. The total widening in centimeters over a million years is:
\[
3 \, \text{cm/year} \times 1,000,000 \, \text{years} = 3,000,000 \, \text{cm}
\]
4. Now, we need to convert centimeters to miles. There are 100,000 cm in a kilometer and about 0.621371 miles in a kilometer. First, we convert centimeters to kilometers:
\[
3,000,000 \, \text{cm} \div 100,000 \, \text{cm/km} = 30 \, \text{km}
\]
5. Next, we convert kilometers to miles:
\[
30 \, \text{km} \times 0.621371 \, \text{miles/km} \approx 18.64 \, \text{miles}
\]
So, the Atlantic Ocean will spread approximately **18.6 miles** in a million years. Thus, the correct response is **18.6 miles**.