Question

A scale on a hiking map shows that 1.5 inches represents 4 miles. What number of actual miles are represented by 6 inches on the map?

Answer 1

16 miles = 6 inches

Explanation:

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Answer 2

Proportion states that two ratios or fractions are equal.

As per the statement:

A scale on a hiking map shows that 1.5 inches represents 4 miles.

⇒On hiking maps: 1.5 inches = 4 miles

We have to find actual miles are represented by 6 inches on the map

Let x be the actual miles.

by definition of proportion we have;

`(1.5)/(4) = (6)/(x)`

By cross multiply we have;

`1.5x = 24`

Divide both sides by 1.5 we have;

`x = 16` miles

therefore, 16 actual miles are represented by 6 inches on the map