Question

-QuestionTutorials4 – Slope in ContextLEARNING OBJECTIVE: Calculate the average rate of change in a given scenario.When reaching mile marker 6 on the trail, Randy uses his GPS to find that his current elevation is 6220feet. 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, infeet per mile marker?

Answer 1

From the question

Initial mile marker = 6, Final mile marker = 13

Initial elevation = 6220ft, Final elevation = 8390ft

The average rate of change in elevation is

`\begin{gathered} \text{change in elevation = }\frac{Final\text{ elevation - initial elevation}}{Final\text{ mile marker - initial mile marker}} \\ \text{Change in elevation = }\frac{8390ft\text{ - 6220ft}}{13\text{milemarker - 6 milemarker}} \\ \text{Change in elevation = }\frac{2170ft}{7mile\text{ marker}} \\ \text{Change in elevation = 310 fe}et\text{ per mile marker} \end{gathered}`

Therefore,

The rate of change in elevation of Randy's position from mile marker 6 to mile marker 13 is 310 feet per mile marker