Assignment:
After a race, a runner's pulse rate R in beats per minute decreases according to the function:
R(t) = 145e^-0.092t, 0 ≤ t ≤ 15
Find the runner's pulse rate at the end of the race.
Find the pulse rate 1 minute after the end of the race.
How long, to the nearest minute, after the end of the race will the runner's pulse rate be 80 beats per minute?
Provide complete and step by step solution for the question and show calculations and use formulas.