Question

Anya makes a scale drawing of a bug. The scale of the drawing’s length to the actual bug’s length is 2 inches: 1/8 inch. The actual bug is 3/4 inch long. How long is Anya’s drawing of the bug.

Answer 1

Hello!

The answer is: The Anya's drawing is 6 inches long.

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Why?

To solve this problem, we need to consider the drawing's length with respect to the actual bug's size.

So, given the scale factor is:

`2in:(1)/(8)in\\\\2x(in):(3)/(4)in`

We can find how long is the Anya's drawing using the following equation with the given information about the scale factor, and the actual's bug size, so:

`(2x)in=(2in*(3)/(4)in)/((1)/(8)in)=((6)/(4)in)/((1)/(8)in)=((3)/(2)in )/((1)/(8)in)\\\\(2x)in=((3)/(2)in )/((1)/(8)in )=(3)/(2)in*(8)/(1)in=12in^(2)\\\\(2x)in=12in^(2) \\\\x=(12in^(2) )/(2in)=6in`

Therefore, the Anya's drawing is 6 inches long.

Have a nice day!