Respuesta :

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:

khan academy

ACCESS MORE
EDU ACCESS
Universidad de Mexico