Answer:
- 1 inch : 250 miles
- 1/15,840,000
Step-by-step explanation:
Map scale factors are usually written a couple of different ways. One of them is the number of miles represented by 1 inch. Here, that is ...
1750 mi/(7 in) = 250 mi/in
Written that way, the scale factor is 1 in : 250 miles.
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The other way the scale factor can be written is as a unitless ratio. That ratio is ...
[tex]\dfrac{1\,\text{in}}{250\,\text{mi}}\times\dfrac{1\,\text{mi}}{5280\,\text{ft}}\times\dfrac{1\,\text{ft}}{12\,\text{in}}=\dfrac{1}{250\cdot 5280\cdot 12}=\dfrac{1}{15,840,000}[/tex]
The map scale factor is 1 in : 250 miles, or 1/15,840,000.
