Answer:
Step-by-step explanation:
Alright, lets get started.
Lets find slope for both bikes one by one
For bike 1 :
There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)
So the slope for bike 1 is : [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
So the slope for bike 1 is : [tex]\frac{6-3}{4-2}[/tex]
So the slope for bike 1 is : [tex]\frac{3}{2}[/tex]
For bike 2 :
There are two points on the graph of Bike 2, these two points are (4,5) and (8,10)
So the slope for bike 2 is : [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
So the slope for bike 2 is : [tex]\frac{10-5}{8-4}=\frac{5}{4}[/tex]
Hence Bike 1 will win the race as slope of line bike1 is greater than slope of line bike 2. So, answer is option D
