Worksheet Grade 8 Social Studies & Civics
Who Can Afford the Water Bill in Selby Junction?
A grade 8 economics worksheet where students figure each household's water bill as a percent of income and compare it to the 4.5 percent high-burden mark.
Objectives
- Students will calculate a household's yearly water bill as a percent of its income.
- Students will compare bills to the high-burden threshold and explain what makes a water bill affordable or not.
Vocabulary
Key words: affordability, household income, high-burden threshold, assistance program
Teacher overview
The same water bill can be easy for one family to pay and a real hardship for another. This worksheet uses three households in the fictional town of Selby Junction to make that idea concrete. A widely used rule of thumb treats combined water and sewer costs above roughly 4.5 percent of household income as a high burden, so students compare each household's bill to that mark. The rule of thumb comes from adding two EPA benchmarks, 2.5 percent for drinking water and 2 percent for wastewater, although EPA has no single official cutoff. The scenario gives students a reason to see a percent of income, not a dollar amount alone, as a better measure of whether a bill is affordable.
Student Worksheet
In the fictional town of Selby Junction, three households pay the water utility every month. Use these figures for all items. A household's yearly bill is its monthly bill times 12. The high-burden threshold is 4.5 percent of yearly income.
- Household A: monthly water bill $75; yearly income $60,000.
- Household B: monthly water bill $90; yearly income $24,000.
- Household C: monthly water bill $100; yearly income $18,000.
- Find Household A's yearly water bill.
- What percent of Household A's yearly income is its yearly water bill? Round to the nearest tenth of a percent.
- Find Household B's yearly water bill.
- What percent of Household B's yearly income is its yearly water bill? Round to the nearest tenth of a percent.
- Find Household C's yearly water bill.
- What percent of Household C's yearly income is its yearly water bill? Round to the nearest tenth of a percent.
- Which households are at or above the 4.5 percent high-burden threshold?
- Household C's yearly bill is $300 more than Household A's, yet the gap in burden is much larger than $300 makes it sound. Explain why, using your percent answers from items 2 and 6.
- Selby Junction offers Household C an assistance program that cuts its bill by 25 percent. Find Household C's new yearly bill.
- What percent of Household C's yearly income is the new bill from item 9? Does the discount bring Household C below the 4.5 percent threshold?
From Water for Schools (waterforschools.org). This material is in the public domain (CC0) and may be copied, edited, and shared freely.
Answer Key
- Answer: $900 per year. $75 per month times 12 months equals $900.
- Answer: 1.5 percent. $900 divided by $60,000 equals 0.015, which is 1.5 percent.
- Answer: $1,080 per year. $90 per month times 12 months equals $1,080.
- Answer: 4.5 percent. $1,080 divided by $24,000 equals 0.045, which is 4.5 percent, right at the threshold.
- Answer: $1,200 per year. $100 per month times 12 months equals $1,200.
- Answer: 6.7 percent. $1,200 divided by $18,000 equals about 0.0667, which rounds to 6.7 percent.
- Answer: Households B and C. Household B sits at 4.5 percent and Household C is at 6.7 percent, so both meet or pass the threshold, while Household A at 1.5 percent does not.
- Answer: Burden depends on share of income, not dollars. Household A pays 1.5 percent of its income and Household C pays 6.7 percent, so the same water costs far more of what Household C has to live on, which the $300 difference in dollars hides.
- Answer: $900 per year. A 25 percent cut removes $300 from the $1,200 bill (1,200 times 0.25 equals 300), leaving $1,200 minus $300, which is $900.
- Answer: 5.0 percent. $900 divided by $18,000 equals 0.05, which is 5.0 percent, so the discount lowers the burden but still leaves Household C above the 4.5 percent threshold.
Differentiation
Support
Provide the division for items 2, 4, and 6 already set up (for example, "900 divided by 60,000 equals ___") so these students complete only the final step and the conversion to a percent. Allow a calculator throughout, and give a number line marked at 4.5 percent for item 7.
Extension
Ask students to find the exact monthly bill that would put Household C right at the 4.5 percent threshold, then explain in a sentence whether the 25 percent discount alone is enough to reach that target or whether the town would need to do more.
ELL supports
Pre-teach affordability, household income, and threshold with a simple bar graphic that shows a bill as a slice of total income. Provide a sentence frame for item 8: "The bill is a bigger burden for Household C because it takes ___ percent of its income, while it takes only ___ percent for Household A."