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Answer :
To solve this problem, we need to find out how many inches would represent 200 feet when one inch equals 1500 feet.
The approach to solve this is based on setting up a proportion:
Identify the given comparison:
- 1 inch represents 1500 feet.
Set up the proportion to find how many inches (let's call it [tex]x[/tex]) represent 200 feet:
[tex]\frac{1 \text{ inch}}{1500 \text{ feet}} = \frac{x \text{ inches}}{200 \text{ feet}}[/tex]
Solve the proportion for [tex]x[/tex]:
To find [tex]x[/tex], you can cross-multiply:
[tex]1500 \times x = 1 \times 200[/tex]
Simplifying the equation gives:
[tex]1500x = 200[/tex]
Divide both sides of the equation by 1500 to solve for [tex]x[/tex]:
[tex]x = \frac{200}{1500}[/tex]
Simplifying further:
[tex]x = \frac{2}{15}[/tex]
Interpret the result:
- [tex]\frac{2}{15}[/tex] of an inch represents 200 feet in this scale.
Therefore, when 1 inch represents 1500 feet, [tex]\frac{2}{15}[/tex] of an inch would represent 200 feet.
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