MATH SOLVE

9 months ago

Q:
# 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?

Accepted Solution

A:

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 hours2. 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 = 120tif 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) = 120tfor any given value of t, d will be equal to t multiplied 120 times