Respuesta :
Answer:
a. 1 inch= 12 miles.
b. 24 miles.
Step-by-step explanation:
We have been given that the actual distance from liberty to west quail is 72 miles, and it is 6 inches on the map.
a. To find the scale of the map we will divide the actual distance (72 miles) by the measure of same distance on the map (6 inches).
[tex]\text{The scale of the map}}=\frac{72\text{ Miles}}{6\text{ inches}}[/tex]
[tex]\text{The scale of the map}}=12\frac{\text{ Miles}}{\text{ inch}}[/tex]
Therefore, the 1 inch on the map equals to 12 miles.
b. We have been given that Foston is between liberty and west quail and is 4 inches from liberty on the map.
Let us find actual distance between Foston and liberty.
[tex]\text{Actual distance between Foston and Liberty}=(4\times 12)\text{ Miles}[/tex]
[tex]\text{Actual distance between Foston and Liberty}=48\text{ Miles}[/tex]
The actual distance between Foston and Liberty is 48 miles.
To find the distance between Foston and West quail we will subtract 48 from 72 (actual distance between Liberty and West quail).
[tex]\text{The actual distance between Foston and West Quail}=(72-48)\text{ Miles}[/tex]
[tex]\text{The actual distance between Foston and west Quail}=24\text{ Miles}[/tex]
Therefore, the actual distance between Foston and West Quail is 24 miles.
