Question

1. an astronomical unit (au) is used to express great distances in space. it is based upon the distance from earth to the sun. a formula for converting any distance d in miles to au is \\(au = \frac{d}{93,000,000}\\). pluto is 3,647,720,000 miles from the sun. what is that distance in au?

0.25
26.3
3.4
39.2

Explanation:

Identify the given values and formula

Using the Astronomical Unit Conversion knowledge point

$$
LATEXBLOCK0
$$

Substitute the distance into the formula

Using the Algebraic Evaluation knowledge point

$$ \text{AU} = \frac{3,647,720,000}{93,000,000} $$

Simplify the division

Using the Algebraic Simplification knowledge point

$$
LATEXBLOCK1
$$

Match with the given options

Using the Algebraic Simplification knowledge point

$$ 39.2228 \approx 39.2 $$

Answer:

• (A) 0.25
• (B) 26.3
• (C) 3.4
• (D) 39.2 (Correct answer)