Respuesta :

The graph that represents the line (y = 12x) is option C) and this can be determined by using the point-slope form of the line.

Given :

Bike traveling at a constant rate of 12 miles per hour.

The following steps can be used to determine the graph that represents a bike traveling at a constant rate of 12 miles per hour:

Step 1 - All the graphs in the option pass through the point (0,0). So, (0,0) is the point through which a line is pass through.

Step 2 - Another point is (1,12) through which line passes because it is given that bike traveling at a constant rate of 12 miles per hour.

Step 3 - The equation of the line that passes through the points (0,0) and (1,12) is given by:

[tex]\dfrac{y-0}{x-0}=\dfrac{12-0}{1-0}[/tex]

y = 12x

So, the graph that represents the line (y = 12x) is option C).

For more information, refer to the link given below:

https://brainly.com/question/2263981