Worksheet Grade 6 Social Studies & Civics

Is Lindmoor's Water Bill Affordable? A Percent Worksheet

A grade 6 economics worksheet where students find three fictional families' water bills as a percent of income and test each against a 4.5 percent high-burden guideline.

Objectives

  1. Students will calculate a water bill as a percent of a family's yearly income.
  2. Students will compare each result to the 4.5 percent high-burden guideline and explain why the same bill is harder for lower incomes.

Vocabulary

Key words: affordability, income, percent, high burden, utility

Teacher overview

A water bill can feel small to one family and heavy to another, even when the bill is the same. To measure this, planners look at the bill as a percent of a family's income. This worksheet uses three fictional families in one town. Students find each family's bill as a percent of income, then check it against a common guideline. The guideline is a real one: a widely used rule of thumb treats water and sewer costs above about 4.5 percent of income as a high burden. It comes from adding two Environmental Protection Agency benchmarks, 2.5 percent for drinking water and 2 percent for wastewater, although the agency has no single official cutoff.

Answer Key

  1. Answer: 5%. In this fictional scenario, $1,000 divided by $20,000 equals 0.05, which is 5 percent.
  2. Answer: Above. The Reed family's 5 percent is above the 4.5 percent high-burden line.
  3. Answer: 2%. The Sato family's $1,000 divided by $50,000 equals 0.02, which is 2 percent.
  4. Answer: No. The Sato family's 2 percent is below the 4.5 percent guideline, so it is not a high burden.
  5. Answer: 6%. The Voss family's $960 divided by $16,000 equals 0.06, which is 6 percent.
  6. Answer: Sato, Reed, Voss. The order from smallest to largest is Sato at 2 percent, Reed at 5 percent, then Voss at 6 percent.
  7. Answer: The same $1,000 bill takes a bigger share of the Reed family's smaller income, so it leaves them less money for other needs than it leaves the Sato family.
  8. Answer: 5.5%. The new bill of $1,100 divided by $20,000 equals 0.055, which is 5.5 percent.
  9. Answer: 1 percentage point. The Reed family's new 5.5 percent is 5.5 minus 4.5, which is 1 percentage point above the line.
  10. Answer: The town could offer a discount or bill-assistance program for lower-income families, so their share of income spent on water drops back below the high-burden line.

Differentiation

Support

Give these students the division for item 1 already set up from the table, so they focus on turning the decimal into a percent. Allow a calculator, and provide a number line marked at 4.5 percent for the compare questions.

Extension

Ask students to invent a fourth Lindmoor family whose bill lands exactly on the 4.5 percent line. They must choose a yearly income and a bill that fit, then show the division that proves the family sits right at the guideline.

ELL supports

Pre-teach "income," "bill," "percent," and "burden" with a simple picture of a coin split into parts. Provide a sentence frame: "The ___ family spends ___ percent of income, which is above or below the line." Allow item 7 and item 10 to be answered in short phrases.