Question 1160620
what this is saying is that the number of bacteria doubles every 12 hours.\
that means it is quadrupling every 24 hours, which is every day.
you start with 35 on day 0.
on day 1 you have 4 times as much as on day 0.
on day 2, you have 4 times as much as on day 1.
on day 3, you have 4 times as much as on day 2.
etc.....


the formula is:
f = p * 4 ^ x, where x is the number of days.
on day 0, you have 35 * 4 ^ 0 = 35.
on day 1, you have 35 * 4 ^ 1 = 140
on day 2, you have 35 * 4 ^ 2 = 560
on day 3, you have 35 * 4 ^ 3 = 2,240


the formula above assumes you start on day 0.
if you start on day 1, then the formula becomes:
f = p * 4 ^ (x - 1)
using this formula, you would get:
on day 1, you have 35 * 4 ^ 0 = 35
on day 2, you have 35 * 4 ^ 1 = 140
on day 3, you have 35 * 4 ^ 2 = 560
on day 4, you have 35 * 4 ^ 3 = 2,240


since your formula assumes 4 ^ x, then i believe the first day is day 0.


the function can be graphed as shon below.


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