Mr. Vestas sells electricity from a wind turbine to his local utility. He receives 3ยข per kilowatt hour for the first 500 kilowatt hours, 2ยข per kilowatt hour for the next 1000 kilowatt hours, and 1ยข per kilowatt hour for each kilowatt hour thereafter. Mr. Vestas sold 1800 kilowatt hours last month. What was the average price per kilowatt hour the utility paid to Mr. Vestas last month, rounded to the nearest hundredth of a cent?

Respuesta :

Answer:

ย 2.11ยข

Step-by-step explanation:

We are expected to solve the weighted average price per kilowatt hour.

Step one:

The formula is ย 

W =โˆ‘wX/โˆ‘w

W=weighted average ย 

w=weights applied to x values

X=data values to be averaged

Step two:

given the total killowatt hour is 1800

the 1st = 500 at 3ยข

2nd= 1000 at 2ยข

3rd = (1800-1000+500) at 1ยข =(1800-1500) at 1ยข = (300) at 1ยข

Step two:

Substituting into the expression we have

W =(500*3)+(1000*2)+(300*1)/500+1000+300

W=1500+2000+300/1800

W=3800/1800

W=2.11ยข

The average price per kilowatt hour the utility paid to Mr. Vestas last month is 2.11ยข