Question

1. is time a function of distance? explain your thinking.

distance (meters) | time (seconds)
--- | ---
100 | 13.8
100 | 15.9
100 | 16.3
100 | 17.1
100 | 18.2

Explanation:

A function requires that each input (independent variable) maps to exactly one output (dependent variable). Here, the input is distance (100 meters, repeated), and it maps to multiple different time values (13.8, 15.9, 16.3, 17.1, 18.2 seconds). Since a single input has multiple outputs, this does not meet the definition of a function.

Answer:

No, time is not a function of distance. The same distance (100 meters) is associated with multiple distinct time values, violating the requirement that each input in a function has exactly one output.