Question

On a map the distance between rip and Janeiro Brazil and San Jose Costa Rica is 4 inches.the scale on the map shows that 1 inch=200 miles ,or if you write it as a ratio.. how would set up a proportion if you want to figure out how many miles it is form Rio de Janeiro to San jose.?

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Answer 1

The way a proportion is set is as follows;

`(1 \ inch)/(200 \ miles ) = (4 \ inches)/( Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose)`

The Distance from Rio de Janeiro and San Jose Costa Rica is then found as 800 miles

Explanation:

The dimension of the distance between Rio de Janeiro and San Jose Costa Rica = 4 inches

The map scale = 1 inch to 200 miles

To figure out how many miles it is or the actual distance from Rio de Janeiro and San Jose Costa Rica, we have;

`(1 \ inch)/(200 \ miles ) = (4 \ inches)/( Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose)`

Therefore, we have;

(4 inches × 200 miles)/(1 inche) = Distance from Rio de Janeiro and San Jose Costa Rica

Which gives;

Distance from Rio de Janeiro and San Jose Costa Rica = 800 miles.