Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

In a certain city, electricity costs $0.13 per kW·h. What is the annual cost for

ID: 929370 • Letter: I

Question

In a certain city, electricity costs $0.13 per kW·h. What is the annual cost for electricity to power a lamp-post for 5.00 hours per day with (a) a 100.-watt incandescent light bulb (b) an energy efficient 25-watt fluorescent bulb that produces the same amount of light? Assume 1 year = 365 days.

(c) A typical incandescent bulb costs $0.89 and lasts for about a year; a typical energy efficient fluorescent bulb costs about $3.49 and lasts for about 3 years. Is the additional cost of the fluorescent bulb justified?

Explanation / Answer

a) 100 W= 0.1 Kw it runs for 5 hours/ day= 0.1 Kw* *5 hours/ day*365days/ year=182.5Kwhr.

Electricity cost =$0.13 per Kwhr

Total electricity cost= 0.13*182.5=23.725$

Cost of electricity + blub cost=(23.725+ 0.89)*3$ ( for three years=73.845S

b) In case of fluorescent bulb energy cost = 0.025*5*365*0.13 =5.93 $/yer

for three years , cost= 5.93*3 + 3.49 =21.28$

Hence purchase of bulb is worthwihile based on the cost.