Question

I have this hard question in math.

can someone help me find out the riddle?

I start with 1 bacteria. Every hour it doubles.
How many hours until there are 1,000,000 bacteria?
Can you make a function that describes this situation?

What if I double it? I start with 2 glasses with 1 bacteria each?
NOW how many hours until there are 1,000,000 bacteria?

I am starting with twice as many, so will it be half the time?

(I am stumped)

Answer 1

actually, you start with one bacterium.

You need a function that doubles every time you add 1 to the time. You probably already are aware that this models exponential growth, so what such function doubles as needed? 2^x does the job.

So, starting at time x=0, at time x hours later, there will be 2^x bacteria.

So, when does 2^x = 1000000?
when x = log1000000/log2 = 6/log2

For the next part, your reasoning is correct.

Answer 2

Thankyou so much:)