Pregunta
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A satellite is traveling at a constant rate of 115 miles per minute above the earth. The equation \( t=\frac{d}{115} \) represents the time it takes for the satellite to travel a given distance. Fill in the blanks to correctly complete the sentences. \( \begin{array}{l}\text { Question } 1 \\ \text { Question } 2 \\ \text { Question } 3 \\ \text { The independent variable is } 4 \\ \text { Question } 5 \\ \text { Summary } \\ \text { The dependent variable is } \\ \text { The satellite traveled } 41,400 \text { miles. How many minutes did it take for the satellite to } \\ \text { travel that distance? Simplify your answer completely. }\end{array} \) min

Ask by Bryant Mckenzie. in the United States
Feb 27,2025

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The satellite took 360 minutes to travel 41,400 miles.

Solución

To solve this problem, we need to use the equation \( t = \frac{d}{115} \) to find the time it takes for the satellite to travel a given distance. Given that the satellite traveled 41,400 miles, we can substitute this value into the equation to find the time it took to travel that distance. Substitute \( d = 41,400 \) into the equation \( t = \frac{d}{115} \): \[ t = \frac{41,400}{115} \] Now, we can calculate the time it took for the satellite to travel 41,400 miles. Calculate the value by following steps: - step0: Calculate: \(\frac{41400}{115}\) - step1: Reduce the numbers: \(\frac{360}{1}\) - step2: Calculate: \(360\) The satellite traveled 41,400 miles. It took 360 minutes for the satellite to travel that distance.

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Extra Insights

To determine the details concerning the satellite's travel and the relationships in the given equation \( t = \frac{d}{115} \), let's fill in the blanks: **Question 1:** The independent variable is **the distance (d)** since it is the variable you control, affecting the outcome (time). **Question 2:** The dependent variable is **the time (t)** because it depends on the distance the satellite travels. **Question 3:** The satellite traveled 41,400 miles. How many minutes did it take for the satellite to travel that distance? To find out how long it took, we can substitute \( d = 41,400 \) into the equation: \[ t = \frac{41,400}{115} \approx 360 \text{ minutes.} \] **Summary:** In summary, the satellite takes time to cover a distance, and from our calculations, it will take approximately **360 minutes** to travel **41,400 miles** at a speed of **115 miles per minute**.

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