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A map of Levi’s property is being made with a scale of 2 centimeters : 3 meters. What is the scale f...
10 months ago
Q:
A map of Levi’s property is being made with a scale of 2 centimeters : 3 meters. What is the scale factor?
Accepted Solution
A:
Answer: The scale factor is: " 2 : 300 " .
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Explanation:
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2 cm : 3 m ;
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Convert: "2 cm " to the value in "m" .
Note the exact conversion: "100 cm = 1 m" .
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2 cm * (1 m / 100 cm) = (2/100) m = 0.02 m .
So we rewrite: "2 cm: 3 m " ; as:
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0.02 m : 3 m ;
The units of "m" cancel out ; since "m/m = 1" ;
and we are left with:
0.02 : 3 ; or, write as: 0.02/3 ;
Now, multiply BOTH the numerator and the denominate by "100" ; to get rid of the decimal; since "scale factors" in maps do not use "decimals" ;
"0.02 / 3 " = [ (0.02)*100 ] / [(3 * 100)] = 2/300 ;
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Answer: The scale factor is: " 2 : 300 " .
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