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On a map the distance between Atlanta, Georgia, and Nashville, Tennessee, is 12.5 in. The actual distance between these two cities is 250 miles. What is the scale?

Answer 1

Cameron Arnold

The scale is #1# inch to #20# miles .

It is apparent from the question that

in the map a distance of #12.5# inches denotes actual distance of #250# miles

Hence, each inch denotes #250/12.5=250/(125/10)#

= #250xx10/125=cancel250^2xx10/(cancel125#1)#

= #20# miles

Hence, the scale is #1# inch to #20# miles .

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Answer 2

Autumn Arnold

To find the scale, divide the actual distance by the distance on the map:

Scale = Actual distance / Map distance Scale = 250 miles / 12.5 inches = 20 miles per inch

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.