A train leaves the station at time \( t=0 \). Traveling at a constant speod, the train travels 360 kilometers in 3 hours. Answer parts a and \( b \). a. Write a function that relates the distance traveled d to the time t . The function that relates the distance travoled \( d \) to the time \( t \) is \( \square \) (Type an equation.)

The function that relates the distance traveled \( d \) to the time \( t \) is \( d(t) = 120t \). 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!