A student creates a scale model of the planets in the solar system. How should the size of Jupiter compare to Mercury if the scale is accurate?(1 point)

Question

Responses

It will be half the size.
It will be half the size.

It will be ten times the size.
It will be ten times the size.

It will be twice the size.
It will be twice the size.

It will be thirty times the size.

Answer 1

To answer the question about the scale model of the planets, we need to consider the actual diameters of Jupiter and Mercury.

Jupiter has a diameter of approximately 139,820 kilometers, while Mercury has a diameter of about 4,880 kilometers. To find out how many times larger Jupiter is than Mercury, we can divide the diameter of Jupiter by the diameter of Mercury:

\[ \text{Scale Factor} = \frac{\text{Diameter of Jupiter}}{\text{Diameter of Mercury}} = \frac{139,820 \text{ km}}{4,880 \text{ km}} \approx 28.6 \]

So, in a scale model, Jupiter would be approximately thirty times the size of Mercury.

Therefore, the correct response is:

It will be thirty times the size.