Pregunta
31. Across a horizontal distance of 20 feet, a roller coaster has a steep drop. The height of the roller coaster at the bottom of the drop is -100 feet, compared to its height at the top of the drop. What is the average amount that the roller coasters height drops over each horizontal foot?
Ask by Chang Ryan. in the United States
Mar 20,2025
Solución de inteligencia artificial de Upstudy
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The roller coaster drops an average of 5 feet for every horizontal foot traveled.
Solución
The change in height (vertical drop) is \( -100 \) feet, and the horizontal distance is \( 20 \) feet.
The average drop per horizontal foot is given by the slope, calculated as:
\[
\text{slope} = \frac{\text{change in height}}{\text{horizontal distance}} = \frac{-100}{20} = -5.
\]
Thus, the roller coaster’s height drops an average of \( 5 \) feet for every horizontal foot traveled (the negative sign indicates the drop).
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Simplifique esta solución Beyond the Answer
To find the average height drop per horizontal foot, we first determine the total height change of the roller coaster. If the height at the top of the drop is considered 0 feet and it drops to -100 feet, the total drop is 100 feet. Then, we divide this height change by the horizontal distance (20 feet): Average drop per horizontal foot = Total height change / Horizontal distance = 100 feet / 20 feet = 5 feet. So, the average amount that the roller coaster's height drops over each horizontal foot is 5 feet. Now, buckle up and enjoy your thrilling ride on the roller coaster of math! 🚀
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