Definitely. Distance is directly proportional to time,
and the proportionality constant is called "speed".
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Because time is considered to be the independent variable, with distance being dependent on the time elapsed since some starting point. Also, distance can be treated as function of time but time will not be a function of distance unless the object is always moving away from the initial position. If the object is stationary or returning, the distance-to-time relationship becomes one-to-many which is not permitted for a function.
Since distance is rate multiplied by the amount of time at such a rate, this can be modeled D=rt
Distance d=1/2 at2 is the formula.
Yes, the time taken to go to the library can be considered a function of the distance to the library. In mathematical terms, a function is a relation between a set of inputs (distance) and a set of possible outputs (time taken). As the distance to the library increases, the time taken to travel there also typically increases, assuming a constant speed of travel. This relationship between distance and time aligns with the definition of a function, making it a valid example of a functional relationship.
Yes. Time is a function of distance and speed, and independent of the method of achieving that speed over the distance. time = distance ÷ speed