Question

a train was traveling at a constant speed. The table below shows the distance, in miles, the train traveled for the first 4 hours. write an equation to represent the relationship between t, the time, and d, the total distance traveled by the train.( I think that you need to find the rate or unit rate but idk how to)

Answer 1

Answer:

$D_{t} =95t$

Step-by-step explanation:

A train was travelling with a constant speed.

As given in the table at time t = 1 hour, distance covered = 95 miles.

Similarly at time t = 2 hours distance covered = 190 miles

so difference = 190 - 95 = 95 miles

When we calculate the difference in the distances traveled at time t = 3 and t = 2

Distance covered = 285 - 190 = 95 miles

Now we are confirm that distance traveled d in t hours is representing an arithmetic sequence.

Explicit formula of an arithmetic sequence is represented by

$D_{(t)}=D_{0}+(t-1)d$

Where $D_{t} =95$ miles

and d = 95 miles  [ common difference ]

so $D_{t} =95$ + (t-1)95

        = 95 + 95t - 95

$D_{t} =95t$

Expression will be $D_{t} =95t$

Answer 2

Answer: d = 95t

Step-by-step explanation: if it takes one hour to travel 95 miles, then the distance will be 95 * time