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Lighting Energy Savings worksheet

Grades 6–7 · CCSS 6.RP.A.3.b

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Number of bulbs replaced: 9
    • Old bulb wattage (each): 70 W
    • New bulb wattage (each): 10 W
    • Hours on per day: 2 h
    • Days used per year: 300
    • Electricity rate: $0.11 per kWh
    • Price of each new bulb (optional): $3
    • Grid CO₂ per kWh: 0.9 lb/kWh

    Find: Money saved per year

  2. Problem 2.
    • Number of bulbs replaced: 12
    • Old bulb wattage (each): 52 W
    • New bulb wattage (each): 7 W
    • Hours on per day: 2 h
    • Days used per year: 350
    • Electricity rate: $0.24 per kWh
    • Price of each new bulb (optional): $4
    • Grid CO₂ per kWh: 0.95 lb/kWh

    Find: Money saved per year

  3. Problem 3.
    • Number of bulbs replaced: 11
    • Old bulb wattage (each): 74 W
    • New bulb wattage (each): 7 W
    • Hours on per day: 3 h
    • Days used per year: 360
    • Electricity rate: $0.17 per kWh
    • Price of each new bulb (optional): $2
    • Grid CO₂ per kWh: 0.7 lb/kWh

    Find: Money saved per year

  4. Problem 4.
    • Number of bulbs replaced: 9
    • Old bulb wattage (each): 68 W
    • New bulb wattage (each): 9 W
    • Hours on per day: 3 h
    • Days used per year: 320
    • Electricity rate: $0.22 per kWh
    • Price of each new bulb (optional): $3
    • Grid CO₂ per kWh: 0.6 lb/kWh

    Find: Money saved per year

  5. Problem 5.
    • Number of bulbs replaced: 10
    • Old bulb wattage (each): 54 W
    • New bulb wattage (each): 8 W
    • Hours on per day: 3 h
    • Days used per year: 300
    • Electricity rate: $0.13 per kWh
    • Price of each new bulb (optional): $3
    • Grid CO₂ per kWh: 0.75 lb/kWh

    Find: Money saved per year

  6. Problem 6.
    • Number of bulbs replaced: 8
    • Old bulb wattage (each): 55 W
    • New bulb wattage (each): 10 W
    • Hours on per day: 2 h
    • Days used per year: 350
    • Electricity rate: $0.18 per kWh
    • Price of each new bulb (optional): $3
    • Grid CO₂ per kWh: 0.6 lb/kWh

    Find: Money saved per year

  7. Problem 7.
    • Number of bulbs replaced: 10
    • Old bulb wattage (each): 40 W
    • New bulb wattage (each): 11 W
    • Hours on per day: 3 h
    • Days used per year: 350
    • Electricity rate: $0.12 per kWh
    • Price of each new bulb (optional): $2
    • Grid CO₂ per kWh: 0.9 lb/kWh

    Find: Money saved per year

  8. Problem 8.
    • Number of bulbs replaced: 9
    • Old bulb wattage (each): 66 W
    • New bulb wattage (each): 9 W
    • Hours on per day: 4 h
    • Days used per year: 350
    • Electricity rate: $0.16 per kWh
    • Price of each new bulb (optional): $4
    • Grid CO₂ per kWh: 0.55 lb/kWh

    Find: Money saved per year

  9. Problem 9.
    • Number of bulbs replaced: 11
    • Old bulb wattage (each): 60 W
    • New bulb wattage (each): 12 W
    • Hours on per day: 3 h
    • Days used per year: 325
    • Electricity rate: $0.17 per kWh
    • Price of each new bulb (optional): $3
    • Grid CO₂ per kWh: 0.64 lb/kWh

    Find: Money saved per year

  10. Problem 10.
    • Number of bulbs replaced: 10
    • Old bulb wattage (each): 60 W
    • New bulb wattage (each): 8 W
    • Hours on per day: 4 h
    • Days used per year: 350
    • Electricity rate: $0.20 per kWh
    • Price of each new bulb (optional): $2
    • Grid CO₂ per kWh: 0.85 lb/kWh

    Find: Money saved per year

Answer key: Lighting Energy Savings worksheet

  1. 1. Money saved per year: $35.64

    1. Find how many hours a year the lights are on: hours per day × days per year

      2 h×300=600 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      9×70 W×600 h1,000=378 kWh
    3. Find the new bulbs' yearly energy the same way

      9×10 W×600 h1,000=54 kWh
    4. Subtract to find the energy you save each year

      378−54=324 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      324 kWh×$0.11 /kWh=$35.64
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $27.00$35.64×12=9.0909090909 months
  2. 2. Money saved per year: $90.72

    1. Find how many hours a year the lights are on: hours per day × days per year

      2 h×350=700 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      12×52 W×700 h1,000=436.8 kWh
    3. Find the new bulbs' yearly energy the same way

      12×7 W×700 h1,000=58.8 kWh
    4. Subtract to find the energy you save each year

      436.8−58.8=378 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      378 kWh×$0.24 /kWh=$90.72
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $48.00$90.72×12=6.3492063492 months
  3. 3. Money saved per year: $135.31

    1. Find how many hours a year the lights are on: hours per day × days per year

      3 h×360=1,080 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      11×74 W×1,080 h1,000=879.12 kWh
    3. Find the new bulbs' yearly energy the same way

      11×7 W×1,080 h1,000=83.16 kWh
    4. Subtract to find the energy you save each year

      879.12−83.16=795.96 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      795.96 kWh×$0.17 /kWh=$135.31
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $22.00$135.31×12=1.9510291679 months
  4. 4. Money saved per year: $112.15

    1. Find how many hours a year the lights are on: hours per day × days per year

      3 h×320=960 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      9×68 W×960 h1,000=587.52 kWh
    3. Find the new bulbs' yearly energy the same way

      9×9 W×960 h1,000=77.76 kWh
    4. Subtract to find the energy you save each year

      587.52−77.76=509.76 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      509.76 kWh×$0.22 /kWh=$112.15
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $27.00$112.15×12=2.8890600924 months
  5. 5. Money saved per year: $53.82

    1. Find how many hours a year the lights are on: hours per day × days per year

      3 h×300=900 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      10×54 W×900 h1,000=486 kWh
    3. Find the new bulbs' yearly energy the same way

      10×8 W×900 h1,000=72 kWh
    4. Subtract to find the energy you save each year

      486−72=414 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      414 kWh×$0.13 /kWh=$53.82
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $30.00$53.82×12=6.6889632107 months
  6. 6. Money saved per year: $45.36

    1. Find how many hours a year the lights are on: hours per day × days per year

      2 h×350=700 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      8×55 W×700 h1,000=308 kWh
    3. Find the new bulbs' yearly energy the same way

      8×10 W×700 h1,000=56 kWh
    4. Subtract to find the energy you save each year

      308−56=252 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      252 kWh×$0.18 /kWh=$45.36
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $24.00$45.36×12=6.3492063492 months
  7. 7. Money saved per year: $36.54

    1. Find how many hours a year the lights are on: hours per day × days per year

      3 h×350=1,050 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      10×40 W×1,050 h1,000=420 kWh
    3. Find the new bulbs' yearly energy the same way

      10×11 W×1,050 h1,000=115.5 kWh
    4. Subtract to find the energy you save each year

      420−115.5=304.5 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      304.5 kWh×$0.12 /kWh=$36.54
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $20.00$36.54×12=6.5681444992 months
  8. 8. Money saved per year: $114.91

    1. Find how many hours a year the lights are on: hours per day × days per year

      4 h×350=1,400 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      9×66 W×1,400 h1,000=831.6 kWh
    3. Find the new bulbs' yearly energy the same way

      9×9 W×1,400 h1,000=113.4 kWh
    4. Subtract to find the energy you save each year

      831.6−113.4=718.2 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      718.2 kWh×$0.16 /kWh=$114.91
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $36.00$114.91×12=3.7593984962 months
  9. 9. Money saved per year: $87.52

    1. Find how many hours a year the lights are on: hours per day × days per year

      3 h×325=975 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      11×60 W×975 h1,000=643.5 kWh
    3. Find the new bulbs' yearly energy the same way

      11×12 W×975 h1,000=128.7 kWh
    4. Subtract to find the energy you save each year

      643.5−128.7=514.8 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      514.8 kWh×$0.17 /kWh=$87.52
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $33.00$87.52×12=4.5248868778 months
  10. 10. Money saved per year: $145.60

    1. Find how many hours a year the lights are on: hours per day × days per year

      4 h×350=1,400 h
    2. Find the old bulbs' yearly energy: bulbs × watts × hours, then ÷ 1,000 to turn watt-hours into the kilowatt-hours on your bill

      10×60 W×1,400 h1,000=840 kWh
    3. Find the new bulbs' yearly energy the same way

      10×8 W×1,400 h1,000=112 kWh
    4. Subtract to find the energy you save each year

      840−112=728 kWh
    5. Find the money saved each year: the energy saved × your electricity rate

      728 kWh×$0.20 /kWh=$145.60
    6. Find the payback time: what the new bulbs cost ÷ what they save each year, then × 12 to get months

      $20.00$145.60×12=1.6483516484 months