Answer :
The daily rate is given by 3 to the power x divided by 10.
We have given that a sample of bacteria is growing at a continuously compounding rate.
The sample triples in 10 days.
What is the formula for the daily rate?
The daily rate of the bacteria growth is. exponential growth is in the form
y = abˣ
where y, x are variables.
a is the initial value
Sample triples, in 10 days. therefore the value of b=3.
Therefore we get,
[tex]y=3a^{\frac{x}{10}[/tex]
[tex]y=a3^{\frac{x}{10}[/tex]
Therefore the daily rate is given by [tex]3^{\frac{x}{10}[/tex].
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