When considering the normal power demand as reported by a utility company, the power demand at midnight is 1040 mw. during the first five hours, the power demand rises to 1600 mw, and at the eight-hour mark, the power demand rises to 1960 mw. what is the average rate of change of the power demand with respect to time for the period from 5 hours to 8 hours after midnight? 360 mw 282.5 mw/hour 120 mw/hour 1780 mw/hour none of these

120 MW/hour

Step-by-step explanation:

The formula of the average rate of change between two points in a function is:

Average rate of change (ARC) = f(x2) -f(x1)/(x2-x1)

Let's think  the power demad as a function d(x) depending of the hour of the day, so the variable x= hour of the day.

Now we have:

d(5)= 1600

d(8)= 1960

If we apply the mentioned ARC formula = [d(8)-d(5)] MW/(8-5)hour= (1960-1600)MW/3hour= 360/3=120 MW/Hour

x/7.50 = 15

x= 7.50 / 15 divide

step-by-step explanation: