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Grades 3–5 · Societies

How can a water meter reading become a usage bill?

A water meter can record how much water has passed through it. A cumulative reading is a running total, not just the amount used today. Two readings in the same units can show use during the period between them.

C31 visual explanationFictional cumulative readings 120 to 126: recorded use 6. Fixed 4 tokens + usage 12 at 2 per unit = 16. These are invented charges, not a real utility tariff.Meter difference → use → fictional chargeEarlier readingLater reading120126126 − 120 = 6 recorded unitsFixed: 4Usage: 12Total: 16Usage rate: 2 tokens per recorded unitInvented fixed-plus-usage bill; not a real tariff.

In the diagramMeter difference → use → fictional chargeEarlier readingLater reading120126126 − 120 = 6 recorded unitsFixed: 4Usage: 12Total: 16Usage rate: 2 tokens per recorded unitInvented fixed-plus-usage bill; not a real tariff.

The meter difference is 126 − 120 = 6 units. Four fixed tokens plus twelve usage tokens make a fictional sixteen-token bill.

The fictional meter moves from 120 to 126. The difference is six units, so six units were recorded during that period. The larger reading does not mean that all 126 units were used in this one period.

The invented bill has a fixed charge of four tokens plus two tokens for each recorded unit. Six units add a usage charge of twelve, making a total of sixteen tokens. The fixed part stays separate from the multiplication.

This connects a measurement with one charging rule. Different utilities can use other rules and additional charges, so the token example is not a statement of anyone’s actual bill.

About this explanation

Starting knowledge: Subtract whole numbers and multiply a small use count by a stated rate.

Sources

  • U.S. Environmental Protection Agency — Understanding Your Water Bill
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