Question

The following graph shows the distance a train traveled over time. Fill in the table with the distance the train has traveled in 1 hour, 3 hours, and 6 hours. How many miles were traveled at 1 hour? ____________ miles How many miles were traveled in 3 hours? ___________miles How many miles were traveled in 6 hours? ___________ miles

Answer 1

i. 60 miles

ii. 180 miles

iii. 360 miles

Step-by-step explanation:

Since the train travels at a constant speed.

The slope of the graph will represent the speed of the train.

Calculating the slope we have;

`\begin{gathered} m=(\Delta y)/(\Delta x) \\ m=(360)/(6) \\ m=60 \end{gathered}`

So, the speed of the train is 60 mph.

i.

The distance the train will travel in 1 hour is;

`\begin{gathered} \text{ distance = sp}eed* time=60*1 \\ \text{ distance = 60 miles} \end{gathered}`

How many miles were traveled at 1 hour? 60 miles.

ii.

The distance the train will travel in 3 hour is;

`\begin{gathered} \text{distance = 60 mph}*3hours \\ \text{distance = 180 miles} \end{gathered}`

How many miles were traveled in 3 hours? 180 miles.

iii.

The distance the train will travel in 6 hour is;

`\begin{gathered} \text{distance = 60 mph }*6hours \\ \text{ distance = 360 miles} \end{gathered}`

How many miles were traveled in 6 hours? 360 miles​

Note: the above values can also be derived from the graph by tracing each of the given time to the graph, to derive their corresponding distance.