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:
[tex]\frac{1.5}{4}=\frac{6}{x}[/tex]
Where x is the number of actual miles asked
2. You must solve for x, as following:
[tex](1.5)(x=4*6\\x=\frac{24}{1.5}\\x=16[/tex]
3. Therefore, 6 inches on the map represents 24 miles.
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,
[tex] \frac{4 miles}{1.5 inches} = \frac{\text{any distance in miles}}{\text{any distance in inches}} [/tex]
You want to know how many miles are represented by 6 inches. Replacing in formula and solving for x
[tex] \frac{4 miles}{1.5 inches} = \frac{x}{6 inches} [/tex]
[tex] \frac{4 miles}{1.5 inches} \times 6 inches = x [/tex]
[tex] 16 miles = x [/tex]
