On a map, the distance between cities Atlanta,Georgia, and Nashville, Tennessee,is 12.5 feet. The actual distance between these two cities is 250 miles. What is the scale?
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OpenStudy (anonymous):
@ryan123345
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
@Zelda
OpenStudy (anonymous):
Is it 0.05?
jimthompson5910 (jim_thompson5910):
Hint: Simplify the ratio
12.5 : 250
you may also want to convert to inches
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OpenStudy (anonymous):
hmmm.
OpenStudy (anonymous):
let me try,
OpenStudy (anonymous):
i got 0.05 by dividing 12.5/250
jimthompson5910 (jim_thompson5910):
divide the other way around
OpenStudy (anonymous):
oh.
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OpenStudy (anonymous):
lets see,
jimthompson5910 (jim_thompson5910):
the scale basically tells you which number to multiply the first number by to get the second
OpenStudy (anonymous):
20.
jimthompson5910 (jim_thompson5910):
eg: 1 to 50 has a scale of 50
OpenStudy (anonymous):
Oh. But here I am not given the scale
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OpenStudy (anonymous):
I am told to find it.
jimthompson5910 (jim_thompson5910):
yes you divide the larger number by the smaller to get it
OpenStudy (anonymous):
oh. ok!
OpenStudy (anonymous):
every time?
jimthompson5910 (jim_thompson5910):
well if you're going from a large real world object to some scaled down version, then yes
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OpenStudy (anonymous):
oh. ok.
OpenStudy (anonymous):
if from a scale to a real one viceversa?
jimthompson5910 (jim_thompson5910):
it could easily work in reverse though (say you want to blow up an image)
OpenStudy (anonymous):
like, a model or drawing to a house?
jimthompson5910 (jim_thompson5910):
ex: a scale model of a DNA molecule
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OpenStudy (anonymous):
okay.
OpenStudy (anonymous):
thanks
jimthompson5910 (jim_thompson5910):
a large scale implies you're going from small to big (scale to real)
a small scale implies you're going from big to small (scale to real)