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.

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Answer:

The scaled sun would be 100 cm far away.

Step-by-step 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 [tex]x.[/tex]

Actual sun is about 100,000,000 mi.

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

Thus, [tex]x[/tex] is equivalent to 100,000,000 mi.

Now, to solve by using cross multiplication method:

[tex]\frac{1}{1,000,000} =\frac{x}{100,000,000}[/tex]

By cross multiplying we get:

[tex]100,000,000 =x\times 1,000,000[/tex]

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

[tex]100=x\\x=100\ cm.[/tex]

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

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