A train leaves the station at time t=0. Traveling at a constant speed, the train travels 480 kilometers in 4 hours. The function that relates the distance traveled d to the time t is?

The function that relates the distance traveled d to the time t is:

f (t) = 120t, where d = f (t)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

At a constant speed, the train travels 480 kilometers in 4 hours

2. The function that relates the distance traveled d to the time t is?

Let's write the relation as a linear equation and then we'll write it using function notation, as follows:

If the train travels 480 kilometers in 4 hours, then it will travel 120 kilometers in one hour, therefore:

d = 120t

if t = 0 ⇒ d = 0, because the train is still at the station and if t = 1 ⇒ d = 120.

Now we replace d by f (t), because d = f t):

f (t) = 120t

for any given value of t, d will be equal to t multiplied 120 times