Answer
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;
[tex]\frac{1.5}{4} = \frac{6}{x}[/tex]
By cross multiply we have;
[tex]1.5x = 24[/tex]
Divide both sides by 1.5 we have;
[tex]x = 16[/tex] miles
therefore, 16 actual miles are represented by 6 inches on the map
Answer:
16 miles = 6 inches
Step-by-step explanation:
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