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Michael is planning a trip to Hooperville. On the map, it is 3.5 inches from his home town. The map’s scale is 1.5 inches : 50 miles. How far away is Hooperville from his home town?

Sagot :

The real distance between Hooperville and Michael's home town is 116.667 miles.

How to use scales to estimate distances

Scales are ratios commonly used to contain great extensions of land in images and maps and offer a quick though efficient manner to estimate distances. The real distance between Hoopersville and Michael's home town can be found thorugh this formula:

d' = d / r      

Where:

  • r - Scale, in inches per mile
  • d - Reduced distance, in inches
  • d' - Real distance, in miles

If we know that d = 3.5 in and r = 1.5 in / 50 mi, then the real distance between Hooperville and Michael's hown town is:

d' = 3.5 in / (1.5 in / 50 mi)

d' = 116.667 mi

The real distance between Hooperville and Michael's home town is 116.667 miles.

To learn more on scale ratios: https://brainly.com/question/13770371

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