When reaching mile marker 6 on the trail, Randy uses his GPS to find that his
current elevation is 6220 feet. If he follows the trail until its end at mile
marker 13 , his elevation will be 8390 feet.
What is the average change in elevation of Randy’s position from mile
marker 6 to mile marker 13, in feet per mile marker?
a.) 310 feet per mile marker
b.) 362 feet per mile marker
c.) 167 feet per mile marker
d.) 271 feet per mile marker

Question

UpStudy AI · Accepted Answer

To determine the average change in elevation per mile marker from mile marker 6 to mile marker 13, follow these steps:

1. **Calculate the Total Elevation Change:**
   $$
   \text{Elevation at mile marker 13} - \text{Elevation at mile marker 6} = 8390 \, \text{feet} - 6220 \, \text{feet} = 2170 \, \text{feet}
   $$

2. **Determine the Number of Miles Traveled:**
   $$
   13 \, \text{miles} - 6 \, \text{miles} = 7 \, \text{miles}
   $$

3. **Calculate the Average Change in Elevation per Mile:**
   $$
   \frac{2170 \, \text{feet}}{7 \, \text{miles}} \approx 310 \, \text{feet per mile marker}
   $$

**Answer:**  
a.) 310 feet per mile marker
The average change in elevation is 310 feet per mile marker.

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