Worksheet Grade 9 Social Studies & Civics

Ospley Water District's PFAS Treatment Costs: A Cost-Benefit Worksheet

A grade 9 economics worksheet where students find the per-household cost of PFAS treatment for a fictional water district and weigh two compliance options.

Objectives

  1. Students will calculate the annual and per-household cost of PFAS treatment for a water district.
  2. Students will compare two compliance options using marginal cost reasoning.
  3. Students will evaluate a proposed change to a federal regulatory deadline.

Vocabulary

PFAS
A large family of human-made chemicals used in things like nonstick pans, waterproof fabric, and firefighting foam. They are called forever chemicals because they take a very long time to break down.

Also: compliance, marginal cost, capital cost, operating cost

Teacher overview

New federal limits on PFAS, a group of long-lasting industrial chemicals, are forcing many water systems to add expensive treatment or find another safe source. This worksheet puts students in the role of an analyst for the fictional Ospley Water District, whose wells tested above the federal PFOA limit. Students calculate what treatment would cost each household, compare building local treatment against connecting to a regional system, and evaluate a proposed change to the federal compliance deadline. The scenario keeps the mathematics grounded in one district's budget so the policy trade-offs stay concrete.

Answer Key

  1. Answer: 8 parts per trillion. In the Ospley scenario, 12 minus 4.0 equals 8 parts per trillion above the limit.
  2. Answer: $320,000 per year. The $6.4 million construction cost divided evenly across 20 years is $320,000 each year.
  3. Answer: $800,000 per year. Adding the $480,000 operating cost to the $320,000 capital cost gives $800,000 per year.
  4. Answer: $100 per household. The $800,000 total annual cost divided among 8,000 households is $100 per household each year.
  5. Answer: About $8.33 per month. The $100 yearly cost divided by 12 months is about $8.33.
  6. Answer: $60 per household, and connecting is cheaper by $40. The $9.6 million divided across 20 years is $480,000 a year, and divided among 8,000 households that is $60 per household per year, which is $40 less than the $100 build-local cost.
  7. Answer: Accept any reasonable cost-benefit argument, such as: owning the treatment plant lets Ospley control its own water quality and schedule, avoids depending on another system's rates or reliability, and keeps decisions local, benefits a board might judge worth the extra $40 per household each year.
  8. Answer: Accept one intended and one unintended outcome. Intended: eligible districts that apply get more time to plan and finance treatment, easing the immediate cost. Unintended: residents of those districts stay exposed to PFOA above the limit longer, and some districts may delay action past April 2029 while counting on an exemption that is still only a proposal and would have to be applied for.
  9. Answer: $16 million. The $800,000 total annual cost multiplied by 20 years equals $16 million.

Differentiation

Support

Provide a worked example with different numbers (a district of 4,000 households and a $4 million cost financed over 20 years) fully solved, so students can follow the same steps for Ospley. Supply the division setups for items 2, 4, and 6 with the numbers already placed.

Extension

Suppose the regional system instead charged a flat $60 per household each year, however many households Ospley serves, while the build-local option still cost $800,000 a year in total. Ask students to find the break-even point: how many households would Ospley need before the build-local cost per household falls to $60? Have them explain what that result suggests about which option fits a growing district.

ELL supports

Pre-teach "PFAS," "capital cost," "operating cost," and "marginal cost" with simple definitions and one example each. Provide a labeled table with columns for "one-time cost," "yearly cost," and "cost per household" so students can organize each option before comparing them.