Question

What is the rate of change of the cost with respect to the number of miles for the Yellow Cab Company?

Answer 1

Answer:

$2/mile

Step-by-step explanation:

Look at the graph.  We see that two points on this line are (0, 2) and (9, 20).

The "run" is (9 - 0), or 9, and the "rise" is (20 - 2), or 18.

The slope of this yellow line is thus m = rise / run = (18 dollars) / (9 miles) = $2/mile

This slope of the yellow line is the incremental taxi fare per mile traveled and is speed of the car and is m = 2 mph.