Q:

Across a horizontal distance of 25 feet, a roller coaster has a steep drop. The height of the roller coaster at the bottom of the drop is -150 feet, compared to its height at the top of the drop. What is the average amount that the roller coaster's height changes over each horizontal foot?

Accepted Solution

A:
Answer:Hence, the average rate of change in vertical height is:                                -6Step-by-step explanation:We know that the average amount that the roller coaster's height changes over each horizontal foot is basically the slope or the average rate of change of the height of the roller coaster to the horizontal distance.i.e. it is the ratio of the vertical change i.e. the change in height of the roller coaster to the horizontal change.Here the vertical change= -150 feetand horizontal change = 25 feetHence,Average rate of change is:[tex]=\dfrac{-150}{25}\\\\=-6[/tex]So, for every change in horizontal distance by 1 feet the vertical height drop by 6 feet.