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SpyIntel [72]
3 years ago
13

There are 16 bacteria in a beaker.Four hours later there are 228 bactriea in the beaker.What is the rate of change per hour in t

he number of bacteria.
Mathematics
1 answer:
saul85 [17]3 years ago
6 0

Answer:

Rate of change per hour in the number of bacteria is r=0.28

Step-by-step explanation:

Given : There are 16 bacteria in a beaker and four hours later there are 228 bacteria in the beaker.  

To find : What is the rate of change per hour in the number of bacteria.

Solution :

At initial number of bacteria is 16

After 4 hours number of bacteria is 228

Rate of change per hour is given by

A=Pe^{rt}

where A = total number of bacteria, P = initial number of bacteria, r= rate of change , t= time  

228=16(e^{4r})

14.25=(e^{4r})

Taking log both side,

log(14.25)=4r

1.15=4r

0.28=r

Therefore, Rate of change per hour in the number of bacteria is r=0.28


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