Answer:
Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.
Step-by-step explanation:
Given that:
3/4 inches on map are equal to [tex]7\frac{1}{2}[/tex] miles
We will find the unit rate in term of inches.
[tex]\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch[/tex]
Total distance covered by Bonnie according to map;
Total distance = [tex]\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}[/tex]
Total distance = [tex]\frac{5}{4}\ miles[/tex]
Actual distance = [tex]\frac{5}{4}*10 = \frac{25}{2}\ miles \\[/tex]
Actual distance = [tex]12\frac{1}{2}\ miles[/tex]
Hence,
Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.
