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

What is the rate of change of the cost with respect to the number of miles for the-example-1

1 Answer

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Answer:

$2/mile

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.

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