Worksheet Grade 8 Science

The Okafor Household Water Audit: Flow Rates and Per-Person Use

A grade 8 science worksheet where a fictional family audits its water use: per-person demand, two showerhead flow rates as slopes, and toilet and leak losses.

Objectives

  1. Students will calculate per-person daily water use from a household total and compare it to typical values.
  2. Students will model two showerhead flow rates as proportional equations and interpret each rate as a slope.
  3. Students will argue how rising population increases total water demand on a shared supply.

Vocabulary

Flow rate
Flow rate measures how much water moves past a point in a certain amount of time, like gallons per minute through a garden hose. Bigger pipes and stronger pushes give bigger flow rates.
WaterSense
An EPA label on toilets, showerheads, faucets, and irrigation controllers that meet water-saving standards. It works like the ENERGY STAR label, but for water.

Also: per-capita use, slope, conservation

Teacher overview

A household water audit adds up where a family's water goes and looks for easy savings. This worksheet uses the fictional Okafor household to connect everyday fixtures to the mathematics of flow rates and per-person demand. Students model two showerheads as proportional relationships, read each flow rate as a slope, and then reason about what happens to a town's total demand as its population grows. A common misconception is that a lower flow rate saves no water because people shower longer to make up for it; the math shows that at the same shower length, the lower rate always uses fewer gallons.

Answer Key

  1. Answer: 75 gallons per person per day.
    300 gallons ÷ 4 people = 75 gallons per person each day.
  2. Answer: 5 gallons per person per day below.
    The household's 75 gallons per person is below the low end of 80, by 80 − 75 = 5 gallons per person per day.
  3. Answer: g = 2.5m.
    At 2.5 gallons per minute, gallons used equals the rate times the number of minutes, so g = 2.5m.
  4. Answer: g = 2.0m.
    At 2.0 gallons per minute, the equation is g = 2.0m.
  5. Answer: The standard 2.5 gpm showerhead gives the steeper line.
    The standard showerhead has the larger flow rate, so its line rises faster; a steeper slope means more gallons are used for every added minute of showering.
  6. Answer: 20 gallons. g = 2.5 × 8 = 20 gallons for an 8-minute standard shower.
  7. Answer: 16 gallons. g = 2.0 × 8 = 16 gallons for an 8-minute WaterSense shower.
  8. Answer: 4 gallons.
    20 gallons − 16 gallons = 4 gallons saved per person for each 8-minute shower.
  9. Answer: About 50 gallons per day.
    210 gallons indoors × 0.24 = 50.4, or about 50 gallons per day used for flushing toilets.
  10. Answer: Total demand doubles.
    If the number of people doubles and each person still uses the same amount, the town's total daily demand doubles, which draws more water from the reservoir and pushes more water through pipes that were sized for a smaller population.
  11. Answer: 6,000 gallons.
    3,000 gallons per year × 2 years = 6,000 gallons wasted by one steady drip over two years. The actual amount depends on how large each drip is.

Differentiation

Support (below grade level)

Give students a completed table of gallons used at 0, 2, 4, 6, and 8 minutes for both showerheads so they can see each proportional pattern before writing the equations in items 3 and 4. Allow a calculator for every calculation.

Extension (above grade level)

Ask students to find the shower length at which a standard 2.5 gpm showerhead would use the same 16 gallons that an 8-minute WaterSense shower uses, and to explain what that result shows about trading a shorter shower for a higher flow rate.

ELL supports

Pre-teach "flow rate," "per person," and "slope" using a picture of water filling a bucket, with a faster and a slower tap. Provide sentence starters for items 5 and 10, such as "The steeper line means the household uses ___ because ___."

Extensions

Have students total the Okafor household's yearly shower water for both showerheads, assuming each of the 4 people takes one 8-minute shower a day, and compare the two yearly totals to show how a small per-shower saving adds up across a family and a year.