Answered

The number of bacteria in a culture is increasing according to the law of exponential growth. After 3 hours there are 100 bacteria, and after 5 hours there are 400 bacteria. How many bacteria will there be after 6 hours?

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Since3122015id
Given "law of exponential growth" and:

[tex]f(3)=100\\f(5)=400[/tex]

We can deduce that:

[tex]f(x)=12.5(2)^x\\f(0)=12.5\\f(1)=25\\f(2)=50\\f(4)=200\\f(6)=800[/tex]

800 bacteria.