A particular strain of bacteria doubles in population every 10 minutes. Assuming you start with a single bacterium in a petri dish, how many bacteria will there be in 2.5 hours?

Question

anonymous · Answer

So this equation is exponential... It will probably be in the form $$y=B ^{x}$$

anonymous · Answer

but y=B^x represents what

anonymous · Answer

Actually, the equation would be$$y = B ^ { \frac{ x }{ 10 }}$$

anonymous · Answer

B is the amount of bacteria made every ten minutes. X represents time.

anonymous · Answer

So b= 2

anonymous · Answer

Your equation is $$y = 2 ^ {\frac{ x }{ 10 }}$$

anonymous · Answer

great thank you

anonymous · Answer

Well I am not coming up with an answer that satisfies the choices I have

anonymous · Answer

So convert 2.5 hours to minutes

anonymous · Answer

That answer, in minutes, should be put in the X variable of the equation

anonymous · Answer

ahh thanks

anonymous · Answer

Ahh.....But still. Here. .	9536
 		B.	32,768
 		C.	65,536
 		D.	16,384
These are the choices. I do that equation and I got 30

anonymous · Answer

2.5 hours is 150 minutes
150/10 = 15
y = 2 ^ 15
y = 32,768

anonymous · Answer

It's 2^15, not 2x15

anas.p · Answer

The equation i gave you...
$$a \times r^{n-1}$$ Here r is 2 and n is 15, because 150 minutes divided by 10 and a is 1 so the equation becomes $$2^{150/10}$$ which is exactly what @annikaroo said.

anonymous · Answer

Ahh I understand now thanks.