THE NUMBERS, EXPLAINED
How to use this calculator.
All journeys are eligible under the same fare account. Apply each day’s cap first, then a weekly cap across the entered single week; no excluded fares.
Start with your inputs
Enter daily uncapped eligible journey totals, daily fare cap, weekly fare cap. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Daily uncapped eligible journey totals | 8,12,6,10,4 |
| Daily fare cap | 8 |
| Weekly fare cap | 30 |
A worked example
With the example inputs above, daily capped fares is 8, 8, 6, 8, 4. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Daily capped fares | 8, 8, 6, 8, 4 |
| Weekly amount charged | 30 |
| Saving from caps | 10 |
How this is calculated
Daily capped fares
Take the smaller of each day’s fare total and daily cap.
Weekly amount charged
Apply weekly cap to the sum of capped daily fares.
Saving from caps
Subtract charged amount from uncapped journey totals.
Symbols and units
- a
- Daily uncapped eligible journey totals
- b
- Daily fare cap
- c
- Weekly fare cap
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
All journeys are eligible under the same fare account. Apply each day’s cap first, then a weekly cap across the entered single week; no excluded fares.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Daily capped fares; Weekly amount charged; Saving from caps. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: All journeys are eligible under the same fare account. Apply each day’s cap first, then a weekly cap across the entered single week; no excluded fares.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax: Solve proportions and their applications ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →