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Math at Home

How much does it cost to light your house? This is a very practical use of math. The equation to calculate the cost of lighting is:

equation.gif (1739 bytes)Lighting

C = (W/1,000) ´ R ´ N

Where

C = cost of lighting the bulb

W = label on the bulb in watts (W)

R = rate of electricity that shows on your electric bill $ / KWH

N = number of hours of usage

Note: 1/1,000 means to convert watts to kilowatts

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Bill’s mother bought a 100-W lightbulb for Bill’s room. He used the light about 4 hours per night. The electric rate in the city he lives in is $0.1 KWH. How much does his mother pay for the lighting bills for his room per month (30 days)?

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C = (100/1,000) ´ ($0.1) ´ (4 ´ 30)

= $1.2

Bill’s mother must pay $1.20 for the light bill every month.

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Bill's mother changed the lamp to a more efficient fluorescent light that shows 25-W on the label. By how much will the lighting bill change in a 30-day month?

Estimate the answer:

ans_a.gif (231 bytes) Less than 25¢
ans_b.gif (220 bytes) Between 25¢ and $1.00
ans_c.gif (227 bytes) Over $1.00

 

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