Start time (given doubling time in consumption of a resource,end time,measurements of a growing quantity)

Formula

Start time (given doubling time in consumption of a resource,end time,measurements of a growing quantity) formula
t1
time at the start
Td
doubling time in consumption of a resource
t2
time at the end
q1
quantity of resource at t1
q2
quantity of resource at t2

Formula description

When applied to the constant growth in consumption of a resource, the total amount consumed in one doubling period equals the total amount consumed in all previous periods. Given two measurements of a growing quantity, q1 at time t1 and q2 at time t2, and assuming a constant growth rate, This formula can be used to calculate the start time t1.

Calculator (how to use calculator?)

Start time (given doubling time in consumption of a resource,end time,measurements of a growing quantity) formula
Td
t2
q1
q2
t1
Precision

Formula code

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References

  1. Wikepedia: Doubling time.

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