Question

the table gives size and distance data for the planets at a certain point in time. calculate the scaled size and distance for each planet using a 1 to 10 billion scale model of the solar system. complete the following table (type integers or decimals rounded to the nearest tenth as needed ) planet diameter distance from sun mercury 4880 km 571 million km venus 12,100 km 1086 million km earth 12,760 km 1517 million km mars 6790 km 2334 million km jupiter 143,000 km 8091 million km saturn 120,000 km 1469 million km uranus 52,000 km 2950 million km neptune 48,400 km 4461 million km planet diameter distance from sun mercury 0.5 mm 5.7 m venus 1.2 mm 10.9 m earth 1.3 mm 15.2 m mars 0.7 mm 23.3 m jupiter 14.3 mm 80.9 m saturn 12.0 mm 147.0 m

Explanation:

Step1: Convert kilometers to millimeters for diameter

We know that 1 km = 1000000 mm. To get the scaled - diameter, we divide the actual diameter (in km) by 10 billion (10000000000). For example, for Mercury: $\frac{4880\times1000000}{10000000000}=\frac{4880}{10000}=0.488\approx0.5$ mm.

Step2: Convert million kilometers to meters for distance from the Sun

We know that 1 million km = 1000000 km and 1 km = 1000 m. So 1 million km = 1000000000 m. To get the scaled - distance, we divide the actual distance (in million km) by 10 billion (10000000000) and then multiply by 1000 (to convert from km to m). For example, for Mercury: $\frac{57.1\times1000000000}{10000000000}= 57.1$ m.

Answer:

Planet	Diameter	Distance from Sun
Venus	1.2 mm	10.9 m
Earth	1.3 mm	15.2 m
Mars	0.7 mm	23.3 m
Jupiter	14.3 mm	80.9 m
Saturn	12.0 mm	147.0 m
Uranus	5.2 mm	295.0 m
Neptune	4.8 mm	446.1 m