Question

Led bulbs are much more efficient at producing light than are traditional incandescent bulbs. they initially cost much more, but last far longer and use much less electricity. an led bulb that produces as much light as a 100 w incandescent bulb uses only 12.5 w of power. the led bulb lasts 15,000 hours, on the average, and costs £9.00, whereas the cost of an incandescent bulb was only £0.75, but it lasted just 750 hours. assume that electricity costs £0.127 per kilowatt-hour and that the bulbs are on for 4.0 h per is the total cost (including the price of the bulbs) to run incandescent bulbs for 3.0 years?

Answer 1

The total cost to run incandescent bulbs for 3 years, including the price of the bulbs and electricity, is approximately £60.126.

Step-by-step explanation:

The total cost of running incandescent bulbs for 3.0 years involves both the cost of the bulbs and the cost of electricity used. To calculate this:

• Determine the total hours the bulbs will be on over 3 years: 3 years × 365 days/year × 4 hours/day = 4,380 hours.
• Calculate how many incandescent bulbs are needed: 4,380 hours / 750 hours per bulb = approximately 5.84, which rounds up to 6 bulbs.
• Multiply the number of bulbs by the cost per bulb: 6 bulbs × £0.75/bulb = £4.50.
• Calculate the energy used by incandescent bulbs: 4,380 hours × 100 W (0.1 kW) = 438 kW•h.
• Find the cost of electricity: 438 kW•h × £0.127/kW•h = £55.626.
• Add the cost of the bulbs and the electricity: £4.50 + £55.626 = £60.126.

The total cost to run incandescent bulbs for 3 years is approximately £60.126.