A train leaves the station at time t=0. Traveling at a constant​ speed, the train travels 420 kilometers in 3 hours. Answer parts a and b.


  1. Answer:
    f(t) = 160t,
    d = f(t)
    The function that relates the distance traveled d to the time t is:
    f(t) = 160t, where d = f(t)
    Step-by-step explanation:
    If the train travels 480 kilometers in 3 hours, then it will travel 160 kilometers in one hour:
    d = 160t
    Now we replace d by f(t) because d = f(t):
    f(t) = 160t
    for any given value of t, d will be equal to t multiplied 160 times


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