A map is drawn to a scale of 28 miles per inch. Fill in the table.
56
14
1
1.5
2
A map is drawn to a scale of 28 miles per inch. Fill in the table
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To fill in the table for distances using the scale of 28 miles per inch, we can set up a proportion based on the scale. The scale means that for every 1 inch on the map, it represents 28 miles in real life.
To find the real distances corresponding to the inches given, we multiply the inches by 28 miles.
Here’s how it’s calculated:
1. For 56 miles:
( frac{56 text{ miles}}{28 text{ miles/inch}} = 2 text{ inches} )
2. For 14 miles:
( frac{14 text{ miles}}{28} = 0.5 text{ inches} )
3. For 1 mile:
( frac{1 text{ mile}}{28} approx 0.036 text{ inches} )
4. For 1.5 miles:
( frac{1.5 text{ miles}}{28} approx 0.054 text{ inches} )
5. For 2 miles:
( frac{2 text{ miles}}{28} approx 0.071 text{ inches} )
Now, here’s the filled table:
| Miles | Inches |
|——-|———|
| 56 | 2 |
| 14 | 0.5 |
| 1