Answer:
<u>The correct answer is A. 7,665'000,000 kilowatt-hours per year and B. 766,500 households.</u>
Step-by-step explanation:
1. Let's review the information provided to us for solving the questions:
Power capacity of the wind farms = 2,500 Megawatts or 2.5 Gigawatts
2. Let's resolve the questions a and b:
Part A
Assuming wind farms typically generate 35% of their capacity, how much energy, in kilowatt-hours, can the region's wind farms generate in one year?
2,500 * 0.35 = 875 Megawatts
875 Megawatts = 875 * 1,000 Kilowatts = 875,000 Kilowatts
Now we calculate the amount of Kilowatts per hour, per day and per year:
875.000 Kw generated by the farms means that are capable of produce 875,000 kw per hour of energy
875,000 * 24 = 21'000,000 kilowatt-hours per day
<u>21'000,000 * 365 = 7,665'000,000 kilowatt-hours per year</u>
Part B
Given that the average household in the region uses about 10,000 kilowatt-hours of energy each year, how many households can be powered by these wind farms?
For calculating the amount of households we divide the total amount of energy the wind farms can generate (7,665'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)
<u>Amount of households = 7,665'000,000/10,000 = 766,500</u>
since H = 0 is the smallest output of the function and H = 40,000 is the largest output. Like the domain, the range is the set of possible outputs of a function.