Question

you drive 8 miles from your house to your friends house. your house is at an elevation of 240 feet. your friend's house is at an elevation of 680 feet. what is the mean change in elevation per mile?

Answer 1

55 feet per mile.

Explanation:

We have been given that you drive 8 miles from your house to your friends house. Your house is at an elevation of 240 feet. Your friend's house is at an elevation of 680 feet.

To find the mean change in elevation per mile, we will divide the difference of elevation by 8.

`\text{Mean change in elevation per mile}=\frac{\text{ 680 feet}-\text{240 feet}}{8\text{ miles}}`

`\text{Mean change in elevation per mile}=\frac{\text{ 440 feet}}{8\text{ miles}}`

`\text{Mean change in elevation per mile}=\frac{\text{ 55 feet}}{\text{ mile}}`

Therefore, the mean change in elevation per mile is 55 feet per mile.

Answer 2

The mean change in elevation per mile would simply be the difference of the elevations divided by the total distance drove, that is:

mean change = (680 ft – 240 ft) / 8 miles

mean change = 55 ft / mile