A sample of bacteria is growing at an hourly rate of 14% according to the continuous exponential growth function. The sample began with 7 bacteria. How many bacteria will be in the sample after 22 hours?

Respuesta :

Answer:

125.0272

Step-by-step explanation:

7 (1.14)^22

Each hour it grows 14%. This means after 1 hour, it has grown 7*1.14. After two hours 7*1.14 (1.14) or 7*(1.14)^2, etc so after 22 hours use equation above to solve.

After 22 hours the bacteria will be 125 bacterias.

The growth rate of bacteria is given an exponential growth rate of 14%. Initially, there are 7 bacteria after 22 hours what would be the numbers of bacteria to be determined.

what is an exponential function?

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Function for the growth rate of the bacteria is given by
= 7(1+14%)^x
=  7(1.14)^x

For 22 years,
= 7 (1.14)^22
= 125


Thus, After 22 hours the bacteria will be 125 bacterias.            

learn more about exponential function here:
https://brainly.com/question/15352175

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