Calculating Scale on a School Map

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Discussion Overview

The discussion revolves around a problem related to calculating scale on a school map, specifically converting a measurement of 1 foot 6 inches into inches based on a given scale where 3 inches represents 9 feet. The scope includes mathematical reasoning and problem-solving approaches.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents a problem involving the conversion of measurements on a map, stating that 3 inches represents 9 feet and asking how many inches represent 1 foot 6 inches.
  • Another participant suggests setting up a proportion to solve for the unknown measurement, indicating that $x$ inches corresponds to 1.5 feet.
  • A later reply proposes that $x$ is equal to 0.5, but clarifies that this value is in inches, not feet, and notes that $x$ must be smaller than 3 inches since 1.5 feet is less than 9 feet.

Areas of Agreement / Disagreement

Participants generally agree on the approach to solving the problem using proportions, but there is some uncertainty regarding the interpretation of the results, particularly in the context of the units involved.

Contextual Notes

There is a lack of clarity regarding the steps taken to arrive at the proposed solution, and the discussion does not fully resolve the conversion process or confirm the correctness of the final answer.

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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