Question

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

Answer 1

Answer: 24 miles.

Step-by-step explanation:

1. You must keep on mind that, according the scale on the map, 1.5 inches represents 4 miles. Then, you can set up the following ratio:

$\frac{1.5}{4}=\frac{6}{x}$

Where x is the number of actual miles asked

2. You must solve for x, as following:

$(1.5)(x=4*6\\x=\frac{24}{1.5}\\x=16$

3. Therefore, 6 inches on the map represents 24 miles.

Answer 2

Answer:

16 miles

Step-by-step explanation:

You have a proportion which relates inches in the map with miles, in this case 1.5 inches represents 4 miles, and this relation must be fulfilled for any other ratio. So,

$\frac{4 miles}{1.5 inches} = \frac{\text{any distance in miles}}{\text{any distance in inches}}$

You want to know how many miles are represented by 6 inches. Replacing in formula and solving for x

$\frac{4 miles}{1.5 inches} = \frac{x}{6 inches}$

$\frac{4 miles}{1.5 inches} \times 6 inches = x$

$16 miles = x$