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Katen [24]
3 years ago
12

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

Mathematics
1 answer:
Leona [35]3 years ago
7 0

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.

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Solve the system using elimination.<br> 2x + 18y = -9<br> 4x + 18y = -27
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First, let's cancel out the x by multiplying 2x + 18y = -9 by -2.

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We can plug in a value for y since y = 1/2 now.

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2x = -18

Divide by 2.

2x/2 = x

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x = -9

Lastly, we can plug in both x and y values to see it works.

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