Question

The distance from New York City to Riverhead is approximately 150 miles. On a map whose scale is 24mi= 2inch, what is the distance between the two locations in inches?​

Answer 1

12.5 inches

Explanation:

Given

`Distance = 150\ miles`

`Scale:= 24\ miles : 2\ inches`

Required

Determine the measurement in inches

Represent the inches equivalent with d.

So, the scale can also be calculated as:

`Scale:= 150\ miles: d`

Equate both scales

`150\ miles: d = 24\ miles ; 2\ inches`

Convert to fraction

`(d)/(150\ miles) = (2\ inches)/(24\ miles)`

`(d)/(150) = (2\ inches)/(24)`

Multiply both sides by 150

`150 * (d)/(150) = (2\ inches)/(24) * 150`

`d = (2\ inches)/(24) * 150`

`d = (2\ inches * 150)/(24)`

`d = (300\ inches)/(24)`

`d =12.5\ inches`