Answer:
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
