Answer:
12.5 inches
Step-by-step explanation:
Given
[tex]Distance = 150\ miles[/tex]
[tex]Scale:= 24\ miles : 2\ inches[/tex]
Required
Determine the measurement in inches
Represent the inches equivalent with d.
So, the scale can also be calculated as:
[tex]Scale:= 150\ miles: d[/tex]
Equate both scales
[tex]150\ miles: d = 24\ miles ; 2\ inches[/tex]
Convert to fraction
[tex]\frac{d}{150\ miles} = \frac{2\ inches}{24\ miles}[/tex]
[tex]\frac{d}{150} = \frac{2\ inches}{24}[/tex]
Multiply both sides by 150
[tex]150 * \frac{d}{150} = \frac{2\ inches}{24} * 150[/tex]
[tex]d = \frac{2\ inches}{24} * 150[/tex]
[tex]d = \frac{2\ inches * 150}{24}[/tex]
[tex]d = \frac{300\ inches}{24}[/tex]
[tex]d =12.5\ inches[/tex]
