Calculating Scale on a School Map

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SUMMARY

The discussion focuses on calculating scale on a school map, specifically converting a measurement where 3 inches represents 9 feet. The equation derived from the problem is $x$ inches is to 1.5 feet as 3 inches is to 9 feet. The solution reveals that $x$ equals 0.5, indicating that 1.5 feet corresponds to 18 inches on the map. Participants emphasize the importance of ensuring that the calculated value for $x$ remains less than 3 inches, as 1.5 feet is less than 9 feet.

PREREQUISITES
  • Understanding of ratios and proportions
  • Basic algebraic equation solving
  • Familiarity with unit conversions (inches to feet)
  • Knowledge of scale representation on maps
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  • Learn about ratio and proportion applications in real-world scenarios
  • Study unit conversion techniques for various measurement systems
  • Explore map scale calculations and their implications in cartography
  • Practice solving algebraic equations involving proportions
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Students, educators, and anyone involved in geometry or map-related projects who seeks to understand scale calculations and unit conversions effectively.

Baylee1014
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Not sure if this is the right category but i need help.

On a map of a school, 3 inches represents 9 feet. How many inches would represent 1 foot 6 inches?
 
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Hello Baylee1014,

Yes, you have chosen the correct sub-forum in which to post your question. (Yes)

It is best though to show what you've tried or what your thoughts are on how to begin so our helpers know exactly where you're stuck or need help.

The problem is essentially stating:

$x$ inches is to 1.5 ft as 3 inches is to 9 ft.

Can you translate that into an equation which you can then solve for $x$?
 
MarkFL said:
Hello Baylee1014,

Yes, you have chosen the correct sub-forum in which to post your question. (Yes)

It is best though to show what you've tried or what your thoughts are on how to begin so our helpers know exactly where you're stuck or need help.

The problem is essentially stating:

$x$ inches is to 1.5 ft as 3 inches is to 9 ft.

Can you translate that into an equation which you can then solve for $x$?

x is equal to .5 so would it would 18 inches??
 
Yes, good work...you are right that $$x=\frac{1}{2}$$, but $x$ is in inches, not in feet.

You should know too that $x$ must be smaller than 3 inches because 1.5 is less than 9.
 

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