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kotegsom [21]
3 years ago
12

A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact

eria after t hours. (b) Find the number of bacteria after 24 hours.
Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer: a) N(t)=1500(2)^t

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

y= ab^t , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

N(t)=1500(2)^t

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000

Hence, the number of bacteria after 24 hours is 25165824000.

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