Question

Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 70 bacteria.
(a) What is the size of the population after 9 hours?
bacteria

(b) What is the size of the population after t hours?
bacteria

(c) What is the size of the population after 16 hours? (Round your answer to the nearest whole number.)

Answer 1

You should review this...exponential growth problems are fairly straightforward.

http://www.mathsisfun.com/algebra/exponential-growth.html

Answer 2

Does it help? ^

Answer 3

no
i'm still not understanding what to do

Answer 4

Base-e only confuses things until logs are learnt.

Answer 5

Imaigine a simpler case where you begin at 2 and double every hour

The hour-by hour sequence is
2,4,8,16,32....

or \[2^{\frac{t}{1hour}}\]

Answer 6

To make the equation where it starts at 70, just multiply the whole thing by 70.