Transit pass break-even calendar calculator

Calculate journeys needed to break even and calendar pay-as-you-go cost with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Choose the currency for these amounts. Changing it keeps your numbers and does not convert exchange rates.

Use journeys needed to break even and calendar pay-as-you-go cost to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Pass price (USD)
30
Single journey fare (USD/journey)
2.5
Journeys on each travel day (count)
2,2,0,2,4
Journeys needed to break even (count)
12
Calendar pay-as-you-go cost (USD)
$25.00
Pass saving over calendar (USD)
-$5.00

Try another scenario

Pass price (USD)
24
Single journey fare (USD/journey)
3
Journeys on each travel day (count)
2,4,2,2
Journeys needed to break even (count)
8
Calendar pay-as-you-go cost (USD)
$30.00
Pass saving over calendar (USD)
$6.00
Calculation method

Calculation method

Journeys needed to break even (count)

ceil(pass price/single journey fare).

Calendar pay-as-you-go cost (USD)

Sum daily journey counts×fare.

Pass saving over calendar (USD)

Calendar pay-as-you-go cost−pass price.

Symbols and units
a
Pass price (USD)
b
Single journey fare (USD/journey)
c
Journeys on each travel day (count)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Flat per-journey fares and one pass covering the entered calendar; no fare caps. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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