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Linear functions SAT question
Math · Algebra · Easy · Answer it here, explanation included.
The line graphed in the xy-plane below models the total cost, in dollars, for a cab ride, y, in a certain city during nonpeak hours based on the number of miles traveled, x.
According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?
ExplanationShow
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 y to the change in x between the two points. Using the points 
and 
, the slope is equal to 
, or 2. Therefore, the cost for each additional mile traveled of the cab ride is $2.00.
Choice B is incorrect and may result from calculating the slope of the line that passes through the points 
and 
. However, does not lie on the line shown. Choice C is incorrect. This is the y-coordinate of the y-intercept of the graph and represents the flat fee for a cab ride before the charge for any miles traveled is added. Choice D is incorrect. This value represents the total cost of a 1-mile cab ride.
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