APFIVE Piecewise Function Evaluation in Context
A city manager observes that traffic flow changes during peak and off-peak hours. The flow is modeled by the piecewise function
$$f(t)= \begin{cases} 2*t+5 & \text{for } t < 4 \\ -t+15 & \text{for } t \geq 4 \end{cases}$$
where $$ t $$ represents the number of hours after 6 AM. What is the value of $$ f(4) $$ and what does it represent?
A
$$7$$, a value midway between the two function definitions.
B
$$13$$, representing a sudden change in traffic flow.
C
$$11$$, indicating the traffic flow at 10 AM during the transition to off-peak hours.
D
$$9$$, which is the average of the two function pieces at the transition.
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