Final answer:
The equation for Brett's relationship between distance and time is d = 20 + 12t, whereas the equation for the Olympian's relationship between distance and time is d = 10t.
Step-by-step explanation:
In the equation for Brett's relationship between distance and time, option b) d = 20 + 12t is the correct answer. This equation shows that the distance (d) is equal to the initial distance (20) plus the rate of change of distance over time (12t).
For the Olympian's relationship between distance and time, the correct equation is option d) d = 10t. This equation shows that the distance (d) is equal to the rate of change of distance with respect to time (10) multiplied by time (t).