Answer:
The function that relates the distance traveled d to the time t is
f(t) = 110t, where d = f(t)
Step-by-step explanation:
From the question, we were told that the train is At a constant speed, the train travels 330 kilometers in 3 hours
We were told to write function that relates the distance traveled d to the time t, we can do this by writing a linear equation with those functions
Since we are told that the train travels 330 kilometers in 3 hours, then we can say the train travel (330/3) kilometers in 1 hour which means it travel 110 kilometers in 1 hour
Then d= 110t---------------eqn(1)
If if t = 0, then d = 0, as well since at t=0 the train is at the station
At t = 1 then d = 110.
From equation (1) d can be replaced by f(t) then we have
f(t) = 110t----------------eqn(2)
Now we replace d by f (t), because d = f t):
f(t) = 120t
Therefore, The function that relates the distance traveled d to the time is f(t) = 120t
