Question

The actual distance between New Jersey and New York is $70$ miles while the distance on the map is $7$ inches. Calculate the scale factor.

• A. $\frac{1}{4900}$
• B. $\frac{1}{49,000}$
• C. $\frac{1}{633,600}$
• D. $\frac{1}{63,360}$

Answer 1

The correct option is C $\frac{1}{633,600}$

The actual distance between the cities $=70$ miles

The distance on the map $=7$ inches

Scale factor $=\frac{Scale}{Actual}$

$=\frac{7in}{70mi}$

Now, $1mi=5280ft$ and $1ft=12in$

$=\frac{7in}{70\times 5280\times 12in}$

$=\frac{7}{7\times 10\times 5280\times 12}$

$=\frac{1}{10\times 5280\times 12}$

$=\frac{1}{633,600}$