Question

You want to build a scale model of the sun that is about 100,000,000 mi away. The scale of your model is 1 cm which represents 1,000,000 mi. How far away would the scaled sun be.

Answer 1

The scaled sun would be 100 cm far away.

Explanation:

Given:

You want to build a scale model of the sun that is about 100,000,000 mi away.

The scale of your model is 1 cm which represents 1,000,000 mi.

Now, to find how far the scaled sun would be.

Let the scaled sun be
`x.`

Actual sun is about 100,000,000 mi.

The scale of model is 1 cm which is equivalent to 1,000,000 mi.

Thus,
`x` is equivalent to 100,000,000 mi.

Now, to solve by using cross multiplication method:

`(1)/(1,000,000) =(x)/(100,000,000)`

By cross multiplying we get:

`100,000,000 =x* 1,000,000`

Dividing both sides by 1,000,000 we get:

`100=x\\x=100\ cm.`

Therefore, the scaled sun would be 100 cm far away.