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.
Accepted Solution
A:
Hello!The answer is: The Anya's drawing is 6 inches long.Have a nice day!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:[tex]2in:\frac{1}{8}in\\\\2x(in):\frac{3}{4}in[/tex]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:[tex](2x)in=\frac{2in*\frac{3}{4}in}{\frac{1}{8}in}=\frac{\frac{6}{4}in}{\frac{1}{8}in}=\frac{\frac{3}{2}in }{\frac{1}{8}in}\\\\(2x)in=\frac{\frac{3}{2}in }{\frac{1}{8}in }=\frac{3}{2}in*\frac{8}{1}in=12in^{2}\\\\(2x)in=12in^{2} \\\\x=\frac{12in^{2} }{2in}=6in[/tex]Therefore, the Anya's drawing is 6 inches long.Have a nice day!