Question

1 inch is to 8 miles as
inches is to 16 miles.

Answer 1

To solve the proportion \(1 \text{ inch} : 8 \text{ miles} = x \text{ inches} : 16 \text{ miles}\), we can set up the equation:

\[
\frac{1 \text{ inch}}{8 \text{ miles}} = \frac{x \text{ inches}}{16 \text{ miles}}
\]

To solve for \(x\), we can cross-multiply:

\[
1 \text{ inch} \times 16 \text{ miles} = 8 \text{ miles} \times x \text{ inches}
\]

This simplifies to:

\[
16 = 8x
\]

Now, divide both sides by 8:

\[
x = \frac{16}{8} = 2
\]

Thus, the answer is \(2\) inches. Therefore, \(1 \text{ inch} : 8 \text{ miles} \) is equivalent to \(2 \text{ inches} : 16 \text{ miles}\).