Question
A train leaves the station at time
. Traveling at a constant speod, the train travels 360 kilometers in 3 hours. Answer parts a and
.
a. Write a function that relates the distance traveled d to the time t .
The function that relates the distance travoled
to the time
is
(Type an equation.)
a. Write a function that relates the distance traveled d to the time t .
(Type an equation.)
Ask by Ortiz Fleming. in the United States
Jan 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The distance traveled
is
times the time
. So, the function is:
Solution

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Beyond the Answer
The function that relates the distance traveled
to the time
is
.
If you’re wondering where the 120 comes from, it’s the average speed of the train! By dividing the total distance (360 km) by the total time (3 hours), we find that the train travels at a blistering pace of 120 kilometers per hour. So, the function expresses how far the train travels based on how many hours have passed. Fun, right?
Now think about the train running late! If you ever find yourself wondering how long it takes for a train moving at 120 km/h to cover a specific distance, it’s all about the formula distance = speed × time. If you apply this principle, remember: while calculating, to stay mindful of units, especially if you dabble in kilometers and meters. Don’t let a simple unit mix-up throw a wrench in your travel plans!