At one point on a mountain road, the elevation is 1250 meters. Three kilometers up the road, the elevation is 1610 meters. What is the average change in elevation for each hundred meters on this section of the road?
(1610-1250)/(3*10)
To find the average change in elevation for each hundred meters on this section of the road, we need to calculate the difference in elevation and divide it by the distance traveled.
First, let's find the difference in elevation. The elevation at the starting point is 1250 meters, and the elevation three kilometers up the road is 1610 meters.
Difference in elevation = Final elevation - Initial elevation
Difference in elevation = 1610 meters - 1250 meters
Difference in elevation = 360 meters
Next, we need to find the distance traveled, but we have the distance in kilometers, not in meters. To convert kilometers to meters, we multiply the distance traveled by 1000.
Distance traveled = 3 kilometers * 1000 meters/kilometer
Distance traveled = 3000 meters
Now that we have the difference in elevation (360 meters) and the distance traveled (3000 meters), we can calculate the average change in elevation for each hundred meters.
Average change in elevation = Difference in elevation / Distance traveled
Average change in elevation = 360 meters / 3000 meters
Average change in elevation = 0.12 meters
Therefore, the average change in elevation for each hundred meters on this section of the road is 0.12 meters.