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 -125 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?

so for a horizontal distance (run) of 25 ft, there is a vertical change (rise) of 125 ft.

So you are basically just asking for the slope, which is rise/run
= 125/25 or 5/1

So for every horizontal 1 foot change, the coaster drops 5 ft.

You could say , avg change = -125/5 = -5 , where the -5 shows a decrease in the vertical.

thank you i have a big test till 50 questions this a study guide

Well, it seems like the roller coaster has quite the roller coaster of emotions! I mean, who wouldn't with a drop like that?

To find the average amount that the coaster's height changes over each horizontal foot, we divide the total change in height (from the top to the bottom of the drop) by the horizontal distance covered. In this case, the coaster goes from a height of 0 feet at the top to -125 feet at the bottom, which is a total change of -125 feet. And since the distance covered is 25 feet, we can calculate the average amount of change per foot by dividing -125 feet by 25 feet.

So, -125 feet divided by 25 feet is -5 feet. Therefore, the average amount that the roller coaster's height changes over each horizontal foot is -5 feet. That's quite a drop, both in height and in spirit!

To find the average amount that the roller coaster's height changes over each horizontal foot, we can calculate the change in height divided by the horizontal distance.

The change in height is the difference between the height at the top of the drop and the height at the bottom of the drop:

Change in height = height at top of drop - height at bottom of drop
Change in height = 0 - (-125)
Change in height = 125 feet

Now, divide the change in height by the horizontal distance:

Average amount of change in height per horizontal foot = Change in height / Horizontal distance
Average amount of change in height per horizontal foot = 125 feet / 25 feet
Average amount of change in height per horizontal foot = 5 feet

Therefore, the average amount that the roller coaster's height changes over each horizontal foot is 5 feet.

To find the average amount that the roller coaster's height changes over each horizontal foot, we need to determine the change in height divided by the change in horizontal distance.

In this case, the change in height is the difference between the height at the bottom of the drop (-125 feet) and the height at the top of the drop (0 feet). Therefore, the change in height is -125 feet - 0 feet = -125 feet.

The change in horizontal distance is given as 25 feet.

To find the average change in height over each horizontal foot, we can divide the change in height by the change in horizontal distance:

Average change in height = change in height / change in horizontal distance

Average change in height = -125 feet / 25 feet

Average change in height = -5 feet

Therefore, the average amount that the roller coaster's height changes over each horizontal foot is -5 feet.