SOLUTION: Use unit analysis to write an algebraic expression to represent the situtation. The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance fro

Algebra ->  Proportions  -> Lessons -> SOLUTION: Use unit analysis to write an algebraic expression to represent the situtation. The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance fro      Log On


   



Question 1064746: Use unit analysis to write an algebraic expression to represent the situtation. The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities? Round your answer to the nearest tenth.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use a ratio
miles / cm = miles / cm
--------------------------
+30+%2F+1+=+110+%2F+x+
Multiply both sides by +x+
+30x+=+110+
+x+=+11%2F3+
+x+=+3.667+
Rounded off to nearest tenth:
+x+=+3.7+ cm on the map is
the distance between the cities