Question
Mateo took 3 hours to hike down a mountain. His elevation decreased 9.6 kilometers over the 3 hours. Which number best represents Mateo's average hourly elevation change? A. -28.8 kilometers B. -3.2 kilometers C. 3.2 kilometers D. 28.8 kilometers
Ask by Lane Martinez. in the United States
Jan 24,2025
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Answer
La respuesta es **B. -3.2 kilómetros** por hora.
Solution
La respuesta correcta es la opción **B. -3.2 kilómetros** por hora.
**Explicación:**
Mateo descendió 9.6 kilómetros en 3 horas. Para encontrar el cambio promedio de elevación por hora, dividimos la disminución total por el tiempo:
\[
\text{Cambio promedio por hora} = \frac{-9.6 \text{ km}}{3 \text{ horas}} = -3.2 \text{ km/h}
\]
El signo negativo indica una disminución en la elevación.
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Simplify this solution The Deep Dive
To find Mateo's average hourly elevation change, divide the total change in elevation by the total time taken. Here, he hiked down 9.6 kilometers over 3 hours. So, -9.6 km / 3 hours = -3.2 km/hour. Negative indicates a decrease in elevation, which is why we get -3.2 kilometers per hour. So, the answer is **B. -3.2 kilometers**. Not only was he making his descent, but this also emphasizes how crucial it is to pay attention to both the distance and time when calculating averages in physics and recreational activities!
