SOLUTION: It is true that 49.2 kilometers are equivalent to 30.57 miles. From this information, derive an equation converting distance in km to distance in miles. What is the distance in m

Question 510440: It is true that 49.2 kilometers are equivalent to 30.57 miles. From this information, derive an equation converting distance in km to distance in miles. What is the distance in miles of 96.2 km?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
It is true that 49.2 kilometers are equivalent to 30.57 miles. From this information, derive an equation converting distance in km to distance in miles. What is the distance in miles of 96.2 km
**
Instead of looking for a conversion formula, try using a method called dimensional analysis.
Since 49.2 km = 30.57 mi, 49.2km/30.57mi=1
So, take this ratio and multiply it against 96.2 km to convert it to miles.
Just make sure the units cancel out properly, like so:
96.2km*30.57 mi/49.2 km
km cancel out, leaving you with:
96.2(30.57/49.2)=59.77 mi
..
To convert 59.77 mi back to km:
flip the ratio
59.77 mi*49.2 km/30.57 mi
mi cancel out, leaving you with:
59.77(49.2/30.57)=96.2 km
..
Formulas are ok, but dimensional analysis can be a good tool to know, especially in Physics.
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