Linear Functions: Model from a Verbal Description - Quiz - Level H (1) 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)

The drone rises 18 meters every 3 seconds, which means it gains 6 meters per second. This constant rate of rise indicates that the relationship between height and time is linear, allowing us to model it with the equation \( y = 6x + b \), where \( b \) is the initial height at \( x = 0 \). To find the initial height \( b \), we can use the given information: after 5 seconds, the drone is at 40 meters. Plugging in these values into the equation, we can solve for \( b \). Setting up the equation \( 40 = 6(5) + b \), we find that \( b = 10 \). Thus, the model can be expressed as \( y = 6x + 10 \).