Answer:
Speed = 25miles per hour
Step-by-step explanation:
Represent the time with x and the distance with y
So, from the attachment; we have the following details:
[tex](x_1,y_1) = (0.5,12.5)[/tex]
[tex](x_2,y_2) = (1,25)[/tex]
[tex](x_3,y_3) = (1.5,37.5)[/tex]
Required
Determine the constant speed
Because the train travelled at a constant speed, the speed can be calculated using:
[tex]Speed = \frac{y_3}{x_3}=\frac{y_2}{x_2}=\frac{y_1}{x_1}[/tex]
[tex]Speed = \frac{12.5}{0.5}=\frac{25}{1}=\frac{37.5}{1.5}[/tex]
[tex]Speed = 25=25=25[/tex]
Notice that the result of each division is the same.
Hence, the constant speed is:
Speed = 25miles per hour
