Interpret the key function of the graph for the domain interval 9<t<14 . What scenario can be represented by this portion of the piecewise function?
A) a runner sprinting at a constant rate starting at minute nine
B) a cyclist taking a cool down ride at a slower constant pace
C) driving a car at a constant rate for five hours
D) a runner resting for 5 minutes
The key function of the graph for the domain interval 9<t<14 represents a constant rate over a specific time period.
Option C) driving a car at a constant rate for five hours does not match the given time interval.
Option A) a runner sprinting at a constant rate starting at minute nine does not match the given time interval either since the interval is from 9<t<14, not starting specifically at minute nine. Additionally, the graph represents a constant rate, whereas sprinting usually involves variations in speed.
Option D) a runner resting for 5 minutes does not match the graph function, as the graph shows a constant rate, not a period of rest.
Therefore, the most appropriate option would be B) a cyclist taking a cool down ride at a slower constant pace. This represents a scenario where the cyclist maintains a constant rate of speed within the given time interval.