Let's work through the problem step by step to find the distance of Venus from the Sun in astronomical units (AU).
1. Given Data:
- Distance from Venus to the Sun: [tex]\(108.2 \text{ million kilometers}\)[/tex]
- Conversion factor: [tex]\(1 \text{ AU} = 1.5 \times 10^8 \text{ kilometers}\)[/tex]
2. Express the distance from Venus to the Sun in standard form:
- [tex]\(108.2 \text{ million kilometers}\)[/tex] is equal to [tex]\(108.2 \times 10^6 \text{ kilometers}\)[/tex].
3. Set up the conversion:
- We need to convert the distance from kilometers to astronomical units using the given conversion factor.
- Formula: [tex]\[ \text{Distance in AU} = \frac{\text{Distance in kilometers}}{\text{Conversion factor}} \][/tex]
4. Substitute the values:
- [tex]\[ \text{Distance in AU} = \frac{108.2 \times 10^6 \text{ kilometers}}{1.5 \times 10^8 \text{ kilometers}} \][/tex]
5. Perform the division:
- Simplify the expression: [tex]\[ \text{Distance in AU} = \frac{108.2}{150} \][/tex]
6. Calculation result:
- [tex]\[ \text{Distance in AU} = 0.7213 \][/tex]
The closest answer to [tex]\(0.7213 \text{ AU}\)[/tex] is:
A. [tex]\(0.72 \text{ AU}\)[/tex]
