Answer:
Option b - [tex]13\frac{1}{4}\text{ miles }[/tex]
Step-by-step explanation:
Given : Sage hiked from the start of the trail to look out point. she then hiked back to giant boulder to camp for the night.
To find : What was the total distance, in miles, that sage hiked?
Solution :
The distance of Pinecone Trail
Nature center = [tex]1\frac{1}{2}=\frac{3}{2}[/tex]
Giant Boulder= [tex]4\frac{1}{4}=\frac{17}{4}[/tex]
Look out point = [tex]8\frac{3}{4}=\frac{35}{4}[/tex]
Now, According to question
Sage hiked from the start of the trail to look out point.
Distance covered is [tex]\frac{35}{4}\text{ miles }[/tex]
She then hiked back to giant boulder to camp for the night.
The distance she traveled extra is
[tex]\frac{35}{4}- \frac{17}{4}=\frac{18}{4}=\frac{9}{2}\text{ miles }[/tex]
The total distance traveled by Sage is
[tex]\frac{35}{4}\text{ miles }+\frac{9}{2}\text{ miles }=\frac{35+18}{2}=\frac{53}{4}=13\frac{1}{4}\text{ miles }[/tex]
Therefore, Option b is correct.
The distance traveled by Sage is [tex]13\frac{1}{4}\text{ miles }[/tex]
