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Question
1 the drone in the example hovers at 16 meters for a few minutes before being lowered at a constant rate. it reaches the ground after 6 seconds. a. why can the drone’s descent be modeled by a linear function?
A linear function is appropriate when a quantity changes at a constant rate. The drone is lowered at a constant rate, meaning its height (distance from the ground) decreases by the same amount per unit of time (second). This constant rate of change (slope in a linear function) satisfies the condition for a linear model, as linear functions have a constant rate of change between the dependent variable (height) and independent variable (time).
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The drone’s descent can be modeled by a linear function because it is lowered at a constant rate. A linear function requires a constant rate of change between the independent variable (time, in seconds) and the dependent variable (height, in meters), and the drone’s height decreases by a fixed amount each second during its descent.