A population of salamanders doubles every month – ignore months with different numbers of days. You have just taken a census. There are 15 salamanders in the backyard lake. If nothing cuts their numbers, how many will there be in one year, or twelve months? Let months be t, and “the population of salamanders at time t” be S(t).

Question

A population of salamanders doubles every month – ignore months with different numbers of days. You have just taken a census.  There are 15 salamanders in the backyard lake.  If nothing cuts their numbers, how many will there be in one year, or twelve months? Let months be t, and “the population of salamanders at time t” be S(t).

anonymous · Answer

15 salamanders *2    * 2     * 2,    once for every month

what depends on t here ?

anonymous · Answer

I don't understand what you mean by what depends on t. t should equal 12.

anonymous · Answer

15 salamanders *2 * 2 * 2, once for every month

what is changed in that calculation if we change t?