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

Answer:

12.5 inches

Step-by-step 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

$\frac{d}{150\ miles} = \frac{2\ inches}{24\ miles}$

$\frac{d}{150} = \frac{2\ inches}{24}$

Multiply both sides by 150

$150 * \frac{d}{150} = \frac{2\ inches}{24} * 150$

$d = \frac{2\ inches}{24} * 150$

$d = \frac{2\ inches * 150}{24}$

$d = \frac{300\ inches}{24}$

$d =12.5\ inches$