Answer:
Step-by-step explanation:
Relationship between distance the distance and time for Priya has been given in the graph.
Therefore, slope of the line on the graph will represent the speed of jog of Priya.
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points lying on the line.
Since, (0, 0) and (0.4, 2) are lying on the line.
Therefore, slope or speed of the line will be,
Speed = [tex]\frac{2-0}{0.4-0}[/tex]
= 5
Now Diego bikes at a speed twice as fast as Priya,
So Diego's speed = 5×2 = 10 mile per hour
Therefore, slope of the line for Diego on graph will be,
m = 10
Line passing through origin and slope = 10 will be,
y = 10x
Points representing Diego's speed will be,
x 0 0.1 0.2 0.3 0.4 0.5
y 0 1 2 3 4 5
Now we can graph these points to get the line.
