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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.1, Problem 13E

(a)

To determine

The power consumption at 6 am and at 6 pm.

Expert Solution

The power consumption at 6 am is 500 MW and at 6 pm is approximate to 730MW.

In the given graph of power consumption for a day in September in San Francisco, the *x*-axis represents the time in hours and the *y*-axis represents the power consumption in megawatts.

From the graph, it is noticed that 6 am corresponds to the *y*-value of 500 MW. Thus, the power consumption at 6 am is 500 MW.

Similarly, it is found that the corresponding value of *y*-axis at 6 pm is lower than 740 MW and higher than 720 MW, and hence the power consumption is approximately 730 MW.

Thus, the power consumption at 6 pm is 730 MW.

(b)

To determine

At what time the power consumption was low and high; also state whether these time seems to be reasonable or not.

Expert Solution

The lowest power consumption occurs at 4 am and the highest power consumption occurs at just before noon.

The power consumption according to the time seems to be reasonable.

From the given graph, it is obvious that the value of *y* is minimum at *t* = 4. Therefore, the lowest power consumption occurs at 4 am.

From the given graph, it is found that the value of *y* is maximum at *t* ≈ 12. Therefore, the highest power consumption occurs at just before noon.

By considering the individuals and business needs, the time of the lowest and the highest power consumptions are seems to be reasonable.