MHB Calculating Scale on a School Map

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To calculate the scale on a school map where 3 inches represents 9 feet, the problem can be set up as a proportion. Specifically, the equation is x inches to 1.5 feet as 3 inches to 9 feet. Solving this gives x = 0.5 inches, but it’s important to note that x must be smaller than 3 inches since 1.5 feet is less than 9 feet. Thus, the correct representation of 1 foot 6 inches on the map is 1.5 inches. Understanding these proportions is crucial for accurate mapping.
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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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