Question

1. what is the value of the expression... (options a - d with handwritten notes)
2. the sign below is located at the start of pinecone trail and shows the distances from the sign to different points of interest along the trail.

image of pinecone trail sign: nature center $1\frac{1}{2}$ miles, giant boulder $4\frac{1}{4}$ miles, lookout point $8\frac{3}{4}$ miles
sage hiked from the start of the trail to lookout point. she then hiked back to giant boulder to camp for the night. what was the total distance, in miles, that sage hiked?
a $21\frac{3}{4}$
b $13\frac{1}{4}$
c $4\frac{1}{2}$
d $4\frac{1}{4}$

Explanation:

Step1: Find distance to Lookout Point

The distance from start to Lookout Point is $8\frac{3}{4}$ miles.

Step2: Find distance from Lookout to Giant Boulder

Subtract distance to Giant Boulder from distance to Lookout Point: $8\frac{3}{4}-4\frac{1}{4}=4\frac{2}{4}=4\frac{1}{2}$ miles.

Step3: Calculate total distance

Add distance to Lookout and back to Giant Boulder: $8\frac{3}{4}+4\frac{1}{2}=8\frac{3}{4}+4\frac{2}{4}=13\frac{1}{4}$ miles.

Answer:

B. $13\frac{1}{4}$