Question

A train travels 65 miles and then stops in a city. Then it travels at a speed of 95 miles per hour before reaching its last stop.

Enter a linear model which represents the total distance traveled, d, by the train, as a function of t, the number of hours
after leaving the city

Answer 1

A linear model representing the total distance traveled by the train after stopping in the city is d = 65 + 95t, where d is the total distance in miles and t is the time in hours after leaving the city.

Step-by-step explanation:

To create a linear model that represents the total distance traveled, d, by the train as a function of t, the number of hours after leaving the city, we need to consider the initial distance traveled and the constant speed after stopping in the city.

Before the city stop, the train travels 65 miles. After the stop, the train travels at a constant speed of 95 miles per hour. The total distance traveled after leaving the city can be represented by d = distance before the city stop + (speed after the city stop × time after the city stop). As the model should represent the distance as a function of time t after the city stop, the formula becomes d = 65 + 95t.

Answer 2

Step-by-step explanation:

as speed is always

distance/time

we need to multiply speed by the time traveled to get the distance traveled.

so,

d = 95t + 65

after all, until it reached the city it traveled already 65 miles (we don't know the speed, but it does not matter for the question about the total distance traveled), which we need to add to get the total distance.