Question

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.

Answer 1

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)

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