4) Rebecca is flying a drone at a constant height. She decides to make the drone rise vertically. It rises 18 m every 3 s . After 5 s , the drone is at a height of 40 m . The drone's height in meters, \( y \), is a function of the time in seconds, \( x \). (4)) How many meters does the drone rise each second? Find the rate of change. 4) 6 meters per second 4) What is the height of the drone before Rebecca makes it rise? Find the initial value. (4)
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Beyond the Answer
Each second, the drone is climbing at a steady pace of 6 meters. This can be calculated by taking the 18 meters it rises every 3 seconds and dividing it by 3, resulting in a clear rate of change in height over time. So, the drone's ascent isn't just a random pattern—it’s a steady climb, showcasing how drones can be programmed for precision maneuvers. Before Rebecca initiated the rise, the drone was at a height of 34 meters. This is determined by subtracting the 6 meters per second rise during the initial 5 seconds from the final height of 40 meters. This initial value emphasizes the importance of knowing where you're starting—just like in life, knowing your baseline can help you measure progress accurately!
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