Question

If a bacteria population starts with 150 bacteria and doubles every four hours, then the number of bacteria after t hours is n = f(t) = 150 · 2t/4.
(a) Find the inverse of this function.

Answer 1

please help!!!1

Answer 2

Just express t in terms of f(x), thus:

t = 4f(t)/150

You could then calculate after how many hours the population was, say, 1050.

Answer t = 1050 times 4/150 = 28 hours

Answer 3

can you show me how you got this please

Answer 4

i think it is \[150\times 2^{\frac{t}{4}}\]

Answer 5

so inverse is \[\frac{4ln(\frac{x}{150})}{ln(2)}\]