Question

the graph shows the motion of two trains starting at different places on tracks that run side by side. their speeds can be compared by comparing the steepness of the graphed lines. use the drop - down menus to complete the statements. train a travels miles in 3 hours. train b travels miles in 4 hours. train as speed is miles per hour. train bs speed is miles per hour. train b traveled train a. the graph for train b is the graph for train a.

Explanation:

Step1: Determine distance of Train A in 3 hours

From the graph, when $x = 3$ (time in hours), for Train A, $y$ (distance) is 150 miles.

Step2: Determine distance of Train B in 4 hours

From the graph, when $x = 4$ (time in hours), for Train B, $y$ (distance) is 125 miles.

Step3: Calculate speed of Train A

Speed = $\frac{\text{Distance}}{\text{Time}}$. For Train A, speed = $\frac{150}{3}=50$ miles per hour.

Step4: Calculate speed of Train B

For Train B, speed = $\frac{125}{4} = 31.25$ miles per hour.

Step5: Compare distances and slopes

Train B traveled less distance than Train A. The graph for Train B is less steep than the graph for Train A.

Answer:

Train A travels 150 miles in 3 hours. Train B travels 125 miles in 4 hours.
Train A's speed is 50 miles per hour. Train B's speed is 31.25 miles per hour.
Train B traveled less than Train A. The graph for Train B is less steep than the graph for Train A.