$
$
$
$
Explanation
Correct answer: A.
Choice A is correct. The cost of each additional mile traveled is represented by the slope of the given line. The slope of the line can be calculated by identifying two points on the line and then calculating the ratio of the change in to the change in between the two points. Using the points and , the slope is equal to , or . Therefore, the cost for each additional mile traveled of the cab ride is $.
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from calculating the slope of the line that passes through the points and . However, the point does not lie on the line shown.
Choice C
Choice C is incorrect. This is the -coordinate of the -intercept of the graph and represents the flat fee for a cab ride before the charge for any miles traveled is added.
Choice D
Choice D is incorrect. This value represents the total cost of a -mile cab ride.